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Finding the Third Proportional to 186,928,148.25 and 409,038,376.50

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Solution

The third proportional to 186,928,148.25 and 409,038,376.50 is: 895,062,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,928,148.25 : 409,038,376.50 = 409,038,376.50 : x
  2. Step 2: Convert to fraction form
    186,928,148.25/409,038,376.50 = 409,038,376.50/x
  3. Step 3: Cross multiply
    186,928,148.25x = 409,038,376.50 × 409,038,376.50
  4. Step 4: Simplify right side
    186,928,148.25x = 167,312,393,449,755,744
  5. Step 5: Solve for x
    x = 167,312,393,449,755,744/186,928,148.25
  6. Step 6: Final answer
    x = 895,062,594.99

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