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Finding the Third Proportional to 137,306,095 and 207,236,013.50

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Solution

The third proportional to 137,306,095 and 207,236,013.50 is: 312,781,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,306,095 : 207,236,013.50 = 207,236,013.50 : x
  2. Step 2: Convert to fraction form
    137,306,095/207,236,013.50 = 207,236,013.50/x
  3. Step 3: Cross multiply
    137,306,095x = 207,236,013.50 × 207,236,013.50
  4. Step 4: Simplify right side
    137,306,095x = 42,946,765,291,372,184
  5. Step 5: Solve for x
    x = 42,946,765,291,372,184/137,306,095
  6. Step 6: Final answer
    x = 312,781,200.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.