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Finding the Third Proportional to 65,050,870.50 and 89,202,340.13

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Solution

The third proportional to 65,050,870.50 and 89,202,340.13 is: 122,320,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,050,870.50 : 89,202,340.13 = 89,202,340.13 : x
  2. Step 2: Convert to fraction form
    65,050,870.50/89,202,340.13 = 89,202,340.13/x
  3. Step 3: Cross multiply
    65,050,870.50x = 89,202,340.13 × 89,202,340.13
  4. Step 4: Simplify right side
    65,050,870.50x = 7,957,057,483,776,185
  5. Step 5: Solve for x
    x = 7,957,057,483,776,185/65,050,870.50
  6. Step 6: Final answer
    x = 122,320,538.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.