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Finding the Third Proportional to 145,435,446 and 323,155,521

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Solution

The third proportional to 145,435,446 and 323,155,521 is: 718,047,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,435,446 : 323,155,521 = 323,155,521 : x
  2. Step 2: Convert to fraction form
    145,435,446/323,155,521 = 323,155,521/x
  3. Step 3: Cross multiply
    145,435,446x = 323,155,521 × 323,155,521
  4. Step 4: Simplify right side
    145,435,446x = 104,429,490,752,781,440
  5. Step 5: Solve for x
    x = 104,429,490,752,781,440/145,435,446
  6. Step 6: Final answer
    x = 718,047,034.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.