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Finding the Third Proportional to 177,788,720 and 267,156,411

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Solution

The third proportional to 177,788,720 and 267,156,411 is: 401,445,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788,720 : 267,156,411 = 267,156,411 : x
  2. Step 2: Convert to fraction form
    177,788,720/267,156,411 = 267,156,411/x
  3. Step 3: Cross multiply
    177,788,720x = 267,156,411 × 267,156,411
  4. Step 4: Simplify right side
    177,788,720x = 71,372,547,938,400,920
  5. Step 5: Solve for x
    x = 71,372,547,938,400,920/177,788,720
  6. Step 6: Final answer
    x = 401,445,873.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.