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Finding the Third Proportional to 106,591,839,529.50 and 237,016,092,549

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Solution

The third proportional to 106,591,839,529.50 and 237,016,092,549 is: 527,025,599,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,591,839,529.50 : 237,016,092,549 = 237,016,092,549 : x
  2. Step 2: Convert to fraction form
    106,591,839,529.50/237,016,092,549 = 237,016,092,549/x
  3. Step 3: Cross multiply
    106,591,839,529.50x = 237,016,092,549 × 237,016,092,549
  4. Step 4: Simplify right side
    106,591,839,529.50x = 56,176,628,127,196,132,671,488
  5. Step 5: Solve for x
    x = 56,176,628,127,196,132,671,488/106,591,839,529.50
  6. Step 6: Final answer
    x = 527,025,599,475.17

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.