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Finding the Third Proportional to 98,824,416 and 142,567,272

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Solution

The third proportional to 98,824,416 and 142,567,272 is: 205,672,118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,824,416 : 142,567,272 = 142,567,272 : x
  2. Step 2: Convert to fraction form
    98,824,416/142,567,272 = 142,567,272/x
  3. Step 3: Cross multiply
    98,824,416x = 142,567,272 × 142,567,272
  4. Step 4: Simplify right side
    98,824,416x = 20,325,427,045,521,984
  5. Step 5: Solve for x
    x = 20,325,427,045,521,984/98,824,416
  6. Step 6: Final answer
    x = 205,672,118.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.