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Finding the Third Proportional to 45,988,278 and 100,141,356

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Solution

The third proportional to 45,988,278 and 100,141,356 is: 218,061,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,988,278 : 100,141,356 = 100,141,356 : x
  2. Step 2: Convert to fraction form
    45,988,278/100,141,356 = 100,141,356/x
  3. Step 3: Cross multiply
    45,988,278x = 100,141,356 × 100,141,356
  4. Step 4: Simplify right side
    45,988,278x = 10,028,291,181,518,736
  5. Step 5: Solve for x
    x = 10,028,291,181,518,736/45,988,278
  6. Step 6: Final answer
    x = 218,061,897.89

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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.