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Finding the Third Proportional to 132,833,513.25 and 274,155,526.13

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Solution

The third proportional to 132,833,513.25 and 274,155,526.13 is: 565,830,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,833,513.25 : 274,155,526.13 = 274,155,526.13 : x
  2. Step 2: Convert to fraction form
    132,833,513.25/274,155,526.13 = 274,155,526.13/x
  3. Step 3: Cross multiply
    132,833,513.25x = 274,155,526.13 × 274,155,526.13
  4. Step 4: Simplify right side
    132,833,513.25x = 75,161,252,504,875,552
  5. Step 5: Solve for x
    x = 75,161,252,504,875,552/132,833,513.25
  6. Step 6: Final answer
    x = 565,830,494.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.