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Finding the Third Proportional to 45,402,244 and 99,634,135

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Solution

The third proportional to 45,402,244 and 99,634,135 is: 218,644,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402,244 : 99,634,135 = 99,634,135 : x
  2. Step 2: Convert to fraction form
    45,402,244/99,634,135 = 99,634,135/x
  3. Step 3: Cross multiply
    45,402,244x = 99,634,135 × 99,634,135
  4. Step 4: Simplify right side
    45,402,244x = 9,926,960,857,198,224
  5. Step 5: Solve for x
    x = 9,926,960,857,198,224/45,402,244
  6. Step 6: Final answer
    x = 218,644,718.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.