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Finding the Third Proportional to 45,811,908 and 98,181,657

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Solution

The third proportional to 45,811,908 and 98,181,657 is: 210,417,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,811,908 : 98,181,657 = 98,181,657 : x
  2. Step 2: Convert to fraction form
    45,811,908/98,181,657 = 98,181,657/x
  3. Step 3: Cross multiply
    45,811,908x = 98,181,657 × 98,181,657
  4. Step 4: Simplify right side
    45,811,908x = 9,639,637,771,265,648
  5. Step 5: Solve for x
    x = 9,639,637,771,265,648/45,811,908
  6. Step 6: Final answer
    x = 210,417,731.81

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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.