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Finding the Third Proportional to 95,702,112 and 209,932,320

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Solution

The third proportional to 95,702,112 and 209,932,320 is: 460,507,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,702,112 : 209,932,320 = 209,932,320 : x
  2. Step 2: Convert to fraction form
    95,702,112/209,932,320 = 209,932,320/x
  3. Step 3: Cross multiply
    95,702,112x = 209,932,320 × 209,932,320
  4. Step 4: Simplify right side
    95,702,112x = 44,071,578,980,582,400
  5. Step 5: Solve for x
    x = 44,071,578,980,582,400/95,702,112
  6. Step 6: Final answer
    x = 460,507,903.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.