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Finding the Third Proportional to 150,322,042.13 and 314,388,547.88

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Solution

The third proportional to 150,322,042.13 and 314,388,547.88 is: 657,522,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,322,042.13 : 314,388,547.88 = 314,388,547.88 : x
  2. Step 2: Convert to fraction form
    150,322,042.13/314,388,547.88 = 314,388,547.88/x
  3. Step 3: Cross multiply
    150,322,042.13x = 314,388,547.88 × 314,388,547.88
  4. Step 4: Simplify right side
    150,322,042.13x = 98,840,159,034,951,168
  5. Step 5: Solve for x
    x = 98,840,159,034,951,168/150,322,042.13
  6. Step 6: Final answer
    x = 657,522,726.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.