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Finding the Third Proportional to 180,866,636 and 392,357,563

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Solution

The third proportional to 180,866,636 and 392,357,563 is: 851,149,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,866,636 : 392,357,563 = 392,357,563 : x
  2. Step 2: Convert to fraction form
    180,866,636/392,357,563 = 392,357,563/x
  3. Step 3: Cross multiply
    180,866,636x = 392,357,563 × 392,357,563
  4. Step 4: Simplify right side
    180,866,636x = 153,944,457,243,298,976
  5. Step 5: Solve for x
    x = 153,944,457,243,298,976/180,866,636
  6. Step 6: Final answer
    x = 851,149,004.86

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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.