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Finding the Third Proportional to 252,223,160 and 380,138,808

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Solution

The third proportional to 252,223,160 and 380,138,808 is: 572,927,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,223,160 : 380,138,808 = 380,138,808 : x
  2. Step 2: Convert to fraction form
    252,223,160/380,138,808 = 380,138,808/x
  3. Step 3: Cross multiply
    252,223,160x = 380,138,808 × 380,138,808
  4. Step 4: Simplify right side
    252,223,160x = 144,505,513,347,660,864
  5. Step 5: Solve for x
    x = 144,505,513,347,660,864/252,223,160
  6. Step 6: Final answer
    x = 572,927,217.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.