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Finding the Third Proportional to 234,107,907.50 and 542,124,349

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Solution

The third proportional to 234,107,907.50 and 542,124,349 is: 1,255,398,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,107,907.50 : 542,124,349 = 542,124,349 : x
  2. Step 2: Convert to fraction form
    234,107,907.50/542,124,349 = 542,124,349/x
  3. Step 3: Cross multiply
    234,107,907.50x = 542,124,349 × 542,124,349
  4. Step 4: Simplify right side
    234,107,907.50x = 293,898,809,778,673,792
  5. Step 5: Solve for x
    x = 293,898,809,778,673,792/234,107,907.50
  6. Step 6: Final answer
    x = 1,255,398,900.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.