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Finding the Third Proportional to 223,536,878,217 and 487,531,578,849.76

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Solution

The third proportional to 223,536,878,217 and 487,531,578,849.76 is: 1,063,301,242,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,536,878,217 : 487,531,578,849.76 = 487,531,578,849.76 : x
  2. Step 2: Convert to fraction form
    223,536,878,217/487,531,578,849.76 = 487,531,578,849.76/x
  3. Step 3: Cross multiply
    223,536,878,217x = 487,531,578,849.76 × 487,531,578,849.76
  4. Step 4: Simplify right side
    223,536,878,217x = 237,687,040,375,739,769,683,968
  5. Step 5: Solve for x
    x = 237,687,040,375,739,769,683,968/223,536,878,217
  6. Step 6: Final answer
    x = 1,063,301,242,603.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.