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Finding the Third Proportional to 231,106,365 and 314,766,526.50

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Solution

The third proportional to 231,106,365 and 314,766,526.50 is: 428,711,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,106,365 : 314,766,526.50 = 314,766,526.50 : x
  2. Step 2: Convert to fraction form
    231,106,365/314,766,526.50 = 314,766,526.50/x
  3. Step 3: Cross multiply
    231,106,365x = 314,766,526.50 × 314,766,526.50
  4. Step 4: Simplify right side
    231,106,365x = 99,077,966,204,875,200
  5. Step 5: Solve for x
    x = 99,077,966,204,875,200/231,106,365
  6. Step 6: Final answer
    x = 428,711,542.43

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Why These Related Problems?

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