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Finding the Third Proportional to 38,871,862.50 and 89,990,743.50

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Solution

The third proportional to 38,871,862.50 and 89,990,743.50 is: 208,334,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871,862.50 : 89,990,743.50 = 89,990,743.50 : x
  2. Step 2: Convert to fraction form
    38,871,862.50/89,990,743.50 = 89,990,743.50/x
  3. Step 3: Cross multiply
    38,871,862.50x = 89,990,743.50 × 89,990,743.50
  4. Step 4: Simplify right side
    38,871,862.50x = 8,098,333,915,682,792
  5. Step 5: Solve for x
    x = 8,098,333,915,682,792/38,871,862.50
  6. Step 6: Final answer
    x = 208,334,085.24

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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.