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Finding the Third Proportional to 45,094,680 and 96,566,654.25

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Solution

The third proportional to 45,094,680 and 96,566,654.25 is: 206,789,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,094,680 : 96,566,654.25 = 96,566,654.25 : x
  2. Step 2: Convert to fraction form
    45,094,680/96,566,654.25 = 96,566,654.25/x
  3. Step 3: Cross multiply
    45,094,680x = 96,566,654.25 × 96,566,654.25
  4. Step 4: Simplify right side
    45,094,680x = 9,325,118,713,039,044
  5. Step 5: Solve for x
    x = 9,325,118,713,039,044/45,094,680
  6. Step 6: Final answer
    x = 206,789,774.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.