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Finding the Third Proportional to 45,086,454 and 98,473,904.25

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Solution

The third proportional to 45,086,454 and 98,473,904.25 is: 215,078,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,086,454 : 98,473,904.25 = 98,473,904.25 : x
  2. Step 2: Convert to fraction form
    45,086,454/98,473,904.25 = 98,473,904.25/x
  3. Step 3: Cross multiply
    45,086,454x = 98,473,904.25 × 98,473,904.25
  4. Step 4: Simplify right side
    45,086,454x = 9,697,109,818,238,168
  5. Step 5: Solve for x
    x = 9,697,109,818,238,168/45,086,454
  6. Step 6: Final answer
    x = 215,078,121.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.