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Finding the Third Proportional to 71,966,100.75 and 102,566,212.50

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Solution

The third proportional to 71,966,100.75 and 102,566,212.50 is: 146,177,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,966,100.75 : 102,566,212.50 = 102,566,212.50 : x
  2. Step 2: Convert to fraction form
    71,966,100.75/102,566,212.50 = 102,566,212.50/x
  3. Step 3: Cross multiply
    71,966,100.75x = 102,566,212.50 × 102,566,212.50
  4. Step 4: Simplify right side
    71,966,100.75x = 10,519,827,946,595,156
  5. Step 5: Solve for x
    x = 10,519,827,946,595,156/71,966,100.75
  6. Step 6: Final answer
    x = 146,177,545.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.