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Finding the Third Proportional to 109,663,713 and 240,852,021.75

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Solution

The third proportional to 109,663,713 and 240,852,021.75 is: 528,978,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663,713 : 240,852,021.75 = 240,852,021.75 : x
  2. Step 2: Convert to fraction form
    109,663,713/240,852,021.75 = 240,852,021.75/x
  3. Step 3: Cross multiply
    109,663,713x = 240,852,021.75 × 240,852,021.75
  4. Step 4: Simplify right side
    109,663,713x = 58,009,696,381,062,472
  5. Step 5: Solve for x
    x = 58,009,696,381,062,472/109,663,713
  6. Step 6: Final answer
    x = 528,978,043.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.