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Finding the Third Proportional to 161,110,656 and 247,782,528

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Solution

The third proportional to 161,110,656 and 247,782,528 is: 381,080,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,110,656 : 247,782,528 = 247,782,528 : x
  2. Step 2: Convert to fraction form
    161,110,656/247,782,528 = 247,782,528/x
  3. Step 3: Cross multiply
    161,110,656x = 247,782,528 × 247,782,528
  4. Step 4: Simplify right side
    161,110,656x = 61,396,181,182,070,784
  5. Step 5: Solve for x
    x = 61,396,181,182,070,784/161,110,656
  6. Step 6: Final answer
    x = 381,080,821.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.