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Finding the Third Proportional to 65,799,298 and 142,570,484

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Solution

The third proportional to 65,799,298 and 142,570,484 is: 308,914,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,799,298 : 142,570,484 = 142,570,484 : x
  2. Step 2: Convert to fraction form
    65,799,298/142,570,484 = 142,570,484/x
  3. Step 3: Cross multiply
    65,799,298x = 142,570,484 × 142,570,484
  4. Step 4: Simplify right side
    65,799,298x = 20,326,342,907,994,256
  5. Step 5: Solve for x
    x = 20,326,342,907,994,256/65,799,298
  6. Step 6: Final answer
    x = 308,914,282.16

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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.