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Finding the Third Proportional to 145,108,177.50 and 221,882,542.50

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Solution

The third proportional to 145,108,177.50 and 221,882,542.50 is: 339,276,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,108,177.50 : 221,882,542.50 = 221,882,542.50 : x
  2. Step 2: Convert to fraction form
    145,108,177.50/221,882,542.50 = 221,882,542.50/x
  3. Step 3: Cross multiply
    145,108,177.50x = 221,882,542.50 × 221,882,542.50
  4. Step 4: Simplify right side
    145,108,177.50x = 49,231,862,666,264,304
  5. Step 5: Solve for x
    x = 49,231,862,666,264,304/145,108,177.50
  6. Step 6: Final answer
    x = 339,276,969.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.