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Finding the Third Proportional to 180,866,634 and 392,357,559

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Solution

The third proportional to 180,866,634 and 392,357,559 is: 851,148,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,866,634 : 392,357,559 = 392,357,559 : x
  2. Step 2: Convert to fraction form
    180,866,634/392,357,559 = 392,357,559/x
  3. Step 3: Cross multiply
    180,866,634x = 392,357,559 × 392,357,559
  4. Step 4: Simplify right side
    180,866,634x = 153,944,454,104,438,496
  5. Step 5: Solve for x
    x = 153,944,454,104,438,496/180,866,634
  6. Step 6: Final answer
    x = 851,148,996.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.