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Finding the Third Proportional to 95,842,096 and 137,055,312

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Solution

The third proportional to 95,842,096 and 137,055,312 is: 195,990,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,842,096 : 137,055,312 = 137,055,312 : x
  2. Step 2: Convert to fraction form
    95,842,096/137,055,312 = 137,055,312/x
  3. Step 3: Cross multiply
    95,842,096x = 137,055,312 × 137,055,312
  4. Step 4: Simplify right side
    95,842,096x = 18,784,158,547,417,344
  5. Step 5: Solve for x
    x = 18,784,158,547,417,344/95,842,096
  6. Step 6: Final answer
    x = 195,990,690.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.