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Finding the Third Proportional to 71,966,095.50 and 102,566,205

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Solution

The third proportional to 71,966,095.50 and 102,566,205 is: 146,177,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,966,095.50 : 102,566,205 = 102,566,205 : x
  2. Step 2: Convert to fraction form
    71,966,095.50/102,566,205 = 102,566,205/x
  3. Step 3: Cross multiply
    71,966,095.50x = 102,566,205 × 102,566,205
  4. Step 4: Simplify right side
    71,966,095.50x = 10,519,826,408,102,024
  5. Step 5: Solve for x
    x = 10,519,826,408,102,024/71,966,095.50
  6. Step 6: Final answer
    x = 146,177,534.50

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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.