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Finding the Third Proportional to 65,480,481 and 102,719,421

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Solution

The third proportional to 65,480,481 and 102,719,421 is: 161,136,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,480,481 : 102,719,421 = 102,719,421 : x
  2. Step 2: Convert to fraction form
    65,480,481/102,719,421 = 102,719,421/x
  3. Step 3: Cross multiply
    65,480,481x = 102,719,421 × 102,719,421
  4. Step 4: Simplify right side
    65,480,481x = 10,551,279,450,575,240
  5. Step 5: Solve for x
    x = 10,551,279,450,575,240/65,480,481
  6. Step 6: Final answer
    x = 161,136,254.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.