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Finding the Third Proportional to 191,927,621.25 and 414,438,023.25

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Solution

The third proportional to 191,927,621.25 and 414,438,023.25 is: 894,914,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,927,621.25 : 414,438,023.25 = 414,438,023.25 : x
  2. Step 2: Convert to fraction form
    191,927,621.25/414,438,023.25 = 414,438,023.25/x
  3. Step 3: Cross multiply
    191,927,621.25x = 414,438,023.25 × 414,438,023.25
  4. Step 4: Simplify right side
    191,927,621.25x = 171,758,875,115,367,552
  5. Step 5: Solve for x
    x = 171,758,875,115,367,552/191,927,621.25
  6. Step 6: Final answer
    x = 894,914,832.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.