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Finding the Third Proportional to 45,094,776 and 96,566,838

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Solution

The third proportional to 45,094,776 and 96,566,838 is: 206,790,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,094,776 : 96,566,838 = 96,566,838 : x
  2. Step 2: Convert to fraction form
    45,094,776/96,566,838 = 96,566,838/x
  3. Step 3: Cross multiply
    45,094,776x = 96,566,838 × 96,566,838
  4. Step 4: Simplify right side
    45,094,776x = 9,325,154,201,318,244
  5. Step 5: Solve for x
    x = 9,325,154,201,318,244/45,094,776
  6. Step 6: Final answer
    x = 206,790,121.35

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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.