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Finding the Third Proportional to 45,402,112 and 99,634,304

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Solution

The third proportional to 45,402,112 and 99,634,304 is: 218,646,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402,112 : 99,634,304 = 99,634,304 : x
  2. Step 2: Convert to fraction form
    45,402,112/99,634,304 = 99,634,304/x
  3. Step 3: Cross multiply
    45,402,112x = 99,634,304 × 99,634,304
  4. Step 4: Simplify right side
    45,402,112x = 9,926,994,533,564,416
  5. Step 5: Solve for x
    x = 9,926,994,533,564,416/45,402,112
  6. Step 6: Final answer
    x = 218,646,095.88

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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.