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Finding the Third Proportional to 70,746,028.50 and 112,496,425.50

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Solution

The third proportional to 70,746,028.50 and 112,496,425.50 is: 178,885,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,746,028.50 : 112,496,425.50 = 112,496,425.50 : x
  2. Step 2: Convert to fraction form
    70,746,028.50/112,496,425.50 = 112,496,425.50/x
  3. Step 3: Cross multiply
    70,746,028.50x = 112,496,425.50 × 112,496,425.50
  4. Step 4: Simplify right side
    70,746,028.50x = 12,655,445,750,277,050
  5. Step 5: Solve for x
    x = 12,655,445,750,277,050/70,746,028.50
  6. Step 6: Final answer
    x = 178,885,599.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.