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Finding the Third Proportional to 102,256,418 and 143,830,479

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Solution

The third proportional to 102,256,418 and 143,830,479 is: 202,307,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,256,418 : 143,830,479 = 143,830,479 : x
  2. Step 2: Convert to fraction form
    102,256,418/143,830,479 = 143,830,479/x
  3. Step 3: Cross multiply
    102,256,418x = 143,830,479 × 143,830,479
  4. Step 4: Simplify right side
    102,256,418x = 20,687,206,689,369,440
  5. Step 5: Solve for x
    x = 20,687,206,689,369,440/102,256,418
  6. Step 6: Final answer
    x = 202,307,171.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.