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Finding the Third Proportional to 149,128,800 and 201,482,352

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Solution

The third proportional to 149,128,800 and 201,482,352 is: 272,215,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,128,800 : 201,482,352 = 201,482,352 : x
  2. Step 2: Convert to fraction form
    149,128,800/201,482,352 = 201,482,352/x
  3. Step 3: Cross multiply
    149,128,800x = 201,482,352 × 201,482,352
  4. Step 4: Simplify right side
    149,128,800x = 40,595,138,167,451,904
  5. Step 5: Solve for x
    x = 40,595,138,167,451,904/149,128,800
  6. Step 6: Final answer
    x = 272,215,280.80

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.