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Finding the Third Proportional to 231,106,392 and 314,766,562.50

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Solution

The third proportional to 231,106,392 and 314,766,562.50 is: 428,711,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,106,392 : 314,766,562.50 = 314,766,562.50 : x
  2. Step 2: Convert to fraction form
    231,106,392/314,766,562.50 = 314,766,562.50/x
  3. Step 3: Cross multiply
    231,106,392x = 314,766,562.50 × 314,766,562.50
  4. Step 4: Simplify right side
    231,106,392x = 99,077,988,868,066,400
  5. Step 5: Solve for x
    x = 99,077,988,868,066,400/231,106,392
  6. Step 6: Final answer
    x = 428,711,590.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.