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Finding the Third Proportional to 158,516,575.25 and 321,490,276.75

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Solution

The third proportional to 158,516,575.25 and 321,490,276.75 is: 652,020,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,516,575.25 : 321,490,276.75 = 321,490,276.75 : x
  2. Step 2: Convert to fraction form
    158,516,575.25/321,490,276.75 = 321,490,276.75/x
  3. Step 3: Cross multiply
    158,516,575.25x = 321,490,276.75 × 321,490,276.75
  4. Step 4: Simplify right side
    158,516,575.25x = 103,355,998,044,791,584
  5. Step 5: Solve for x
    x = 103,355,998,044,791,584/158,516,575.25
  6. Step 6: Final answer
    x = 652,020,130.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.