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Finding the Third Proportional to 88,106,323.50 and 186,715,633.50

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Solution

The third proportional to 88,106,323.50 and 186,715,633.50 is: 395,689,280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,106,323.50 : 186,715,633.50 = 186,715,633.50 : x
  2. Step 2: Convert to fraction form
    88,106,323.50/186,715,633.50 = 186,715,633.50/x
  3. Step 3: Cross multiply
    88,106,323.50x = 186,715,633.50 × 186,715,633.50
  4. Step 4: Simplify right side
    88,106,323.50x = 34,862,727,793,306,324
  5. Step 5: Solve for x
    x = 34,862,727,793,306,324/88,106,323.50
  6. Step 6: Final answer
    x = 395,689,280.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.