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Finding the Third Proportional to 77,052,901.50 and 112,814,970.75

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Solution

The third proportional to 77,052,901.50 and 112,814,970.75 is: 165,175,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052,901.50 : 112,814,970.75 = 112,814,970.75 : x
  2. Step 2: Convert to fraction form
    77,052,901.50/112,814,970.75 = 112,814,970.75/x
  3. Step 3: Cross multiply
    77,052,901.50x = 112,814,970.75 × 112,814,970.75
  4. Step 4: Simplify right side
    77,052,901.50x = 12,727,217,625,323,356
  5. Step 5: Solve for x
    x = 12,727,217,625,323,356/77,052,901.50
  6. Step 6: Final answer
    x = 165,175,059.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.