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Finding the Third Proportional to 160,236,804 and 346,016,904

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Solution

The third proportional to 160,236,804 and 346,016,904 is: 747,192,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,236,804 : 346,016,904 = 346,016,904 : x
  2. Step 2: Convert to fraction form
    160,236,804/346,016,904 = 346,016,904/x
  3. Step 3: Cross multiply
    160,236,804x = 346,016,904 × 346,016,904
  4. Step 4: Simplify right side
    160,236,804x = 119,727,697,853,745,216
  5. Step 5: Solve for x
    x = 119,727,697,853,745,216/160,236,804
  6. Step 6: Final answer
    x = 747,192,248.38

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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.