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Finding the Third Proportional to 96,570,594 and 209,602,977

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Solution

The third proportional to 96,570,594 and 209,602,977 is: 454,935,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,570,594 : 209,602,977 = 209,602,977 : x
  2. Step 2: Convert to fraction form
    96,570,594/209,602,977 = 209,602,977/x
  3. Step 3: Cross multiply
    96,570,594x = 209,602,977 × 209,602,977
  4. Step 4: Simplify right side
    96,570,594x = 43,933,407,967,262,528
  5. Step 5: Solve for x
    x = 43,933,407,967,262,528/96,570,594
  6. Step 6: Final answer
    x = 454,935,670.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.