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Finding the Third Proportional to 89,509,900.50 and 138,218,946.75

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Solution

The third proportional to 89,509,900.50 and 138,218,946.75 is: 213,434,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,509,900.50 : 138,218,946.75 = 138,218,946.75 : x
  2. Step 2: Convert to fraction form
    89,509,900.50/138,218,946.75 = 138,218,946.75/x
  3. Step 3: Cross multiply
    89,509,900.50x = 138,218,946.75 × 138,218,946.75
  4. Step 4: Simplify right side
    89,509,900.50x = 19,104,477,240,679,336
  5. Step 5: Solve for x
    x = 19,104,477,240,679,336/89,509,900.50
  6. Step 6: Final answer
    x = 213,434,236.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.