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Finding the Third Proportional to 186,006,857.50 and 306,279,746.25

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Solution

The third proportional to 186,006,857.50 and 306,279,746.25 is: 504,321,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,006,857.50 : 306,279,746.25 = 306,279,746.25 : x
  2. Step 2: Convert to fraction form
    186,006,857.50/306,279,746.25 = 306,279,746.25/x
  3. Step 3: Cross multiply
    186,006,857.50x = 306,279,746.25 × 306,279,746.25
  4. Step 4: Simplify right side
    186,006,857.50x = 93,807,282,962,964,384
  5. Step 5: Solve for x
    x = 93,807,282,962,964,384/186,006,857.50
  6. Step 6: Final answer
    x = 504,321,637.51

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.