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Finding the Third Proportional to 95,846,988 and 209,938,784

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Solution

The third proportional to 95,846,988 and 209,938,784 is: 459,840,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,846,988 : 209,938,784 = 209,938,784 : x
  2. Step 2: Convert to fraction form
    95,846,988/209,938,784 = 209,938,784/x
  3. Step 3: Cross multiply
    95,846,988x = 209,938,784 × 209,938,784
  4. Step 4: Simplify right side
    95,846,988x = 44,074,293,027,398,656
  5. Step 5: Solve for x
    x = 44,074,293,027,398,656/95,846,988
  6. Step 6: Final answer
    x = 459,840,146.75

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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.