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Finding the Third Proportional to 71,966,106 and 102,566,220

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Solution

The third proportional to 71,966,106 and 102,566,220 is: 146,177,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,966,106 : 102,566,220 = 102,566,220 : x
  2. Step 2: Convert to fraction form
    71,966,106/102,566,220 = 102,566,220/x
  3. Step 3: Cross multiply
    71,966,106x = 102,566,220 × 102,566,220
  4. Step 4: Simplify right side
    71,966,106x = 10,519,829,485,088,400
  5. Step 5: Solve for x
    x = 10,519,829,485,088,400/71,966,106
  6. Step 6: Final answer
    x = 146,177,555.93

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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.