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Finding the Third Proportional to 123,486,585.75 and 268,495,742.25

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Solution

The third proportional to 123,486,585.75 and 268,495,742.25 is: 583,787,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,486,585.75 : 268,495,742.25 = 268,495,742.25 : x
  2. Step 2: Convert to fraction form
    123,486,585.75/268,495,742.25 = 268,495,742.25/x
  3. Step 3: Cross multiply
    123,486,585.75x = 268,495,742.25 × 268,495,742.25
  4. Step 4: Simplify right side
    123,486,585.75x = 72,089,963,606,378,432
  5. Step 5: Solve for x
    x = 72,089,963,606,378,432/123,486,585.75
  6. Step 6: Final answer
    x = 583,787,811.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.