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Finding the Third Proportional to 65,799,296 and 142,570,480

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Solution

The third proportional to 65,799,296 and 142,570,480 is: 308,914,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,799,296 : 142,570,480 = 142,570,480 : x
  2. Step 2: Convert to fraction form
    65,799,296/142,570,480 = 142,570,480/x
  3. Step 3: Cross multiply
    65,799,296x = 142,570,480 × 142,570,480
  4. Step 4: Simplify right side
    65,799,296x = 20,326,341,767,430,400
  5. Step 5: Solve for x
    x = 20,326,341,767,430,400/65,799,296
  6. Step 6: Final answer
    x = 308,914,274.21

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Why These Related Problems?

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