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Finding the Third Proportional to 64,830,639 and 141,508,902

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Solution

The third proportional to 64,830,639 and 141,508,902 is: 308,878,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,830,639 : 141,508,902 = 141,508,902 : x
  2. Step 2: Convert to fraction form
    64,830,639/141,508,902 = 141,508,902/x
  3. Step 3: Cross multiply
    64,830,639x = 141,508,902 × 141,508,902
  4. Step 4: Simplify right side
    64,830,639x = 20,024,769,345,245,604
  5. Step 5: Solve for x
    x = 20,024,769,345,245,604/64,830,639
  6. Step 6: Final answer
    x = 308,878,173.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.