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Finding the Third Proportional to 151,939,842 and 309,249,332

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Solution

The third proportional to 151,939,842 and 309,249,332 is: 629,427,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,939,842 : 309,249,332 = 309,249,332 : x
  2. Step 2: Convert to fraction form
    151,939,842/309,249,332 = 309,249,332/x
  3. Step 3: Cross multiply
    151,939,842x = 309,249,332 × 309,249,332
  4. Step 4: Simplify right side
    151,939,842x = 95,635,149,342,446,224
  5. Step 5: Solve for x
    x = 95,635,149,342,446,224/151,939,842
  6. Step 6: Final answer
    x = 629,427,726.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.