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Finding the Third Proportional to 45,454,580 and 97,655,272

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Solution

The third proportional to 45,454,580 and 97,655,272 is: 209,803,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,454,580 : 97,655,272 = 97,655,272 : x
  2. Step 2: Convert to fraction form
    45,454,580/97,655,272 = 97,655,272/x
  3. Step 3: Cross multiply
    45,454,580x = 97,655,272 × 97,655,272
  4. Step 4: Simplify right side
    45,454,580x = 9,536,552,149,393,984
  5. Step 5: Solve for x
    x = 9,536,552,149,393,984/45,454,580
  6. Step 6: Final answer
    x = 209,803,987.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.