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Finding the Third Proportional to 35,888,350.50 and 78,724,192.50

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Solution

The third proportional to 35,888,350.50 and 78,724,192.50 is: 172,688,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,888,350.50 : 78,724,192.50 = 78,724,192.50 : x
  2. Step 2: Convert to fraction form
    35,888,350.50/78,724,192.50 = 78,724,192.50/x
  3. Step 3: Cross multiply
    35,888,350.50x = 78,724,192.50 × 78,724,192.50
  4. Step 4: Simplify right side
    35,888,350.50x = 6,197,498,484,777,056
  5. Step 5: Solve for x
    x = 6,197,498,484,777,056/35,888,350.50
  6. Step 6: Final answer
    x = 172,688,306.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.