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Finding the Third Proportional to 48,917,547 and 106,624,548

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Solution

The third proportional to 48,917,547 and 106,624,548 is: 232,407,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,917,547 : 106,624,548 = 106,624,548 : x
  2. Step 2: Convert to fraction form
    48,917,547/106,624,548 = 106,624,548/x
  3. Step 3: Cross multiply
    48,917,547x = 106,624,548 × 106,624,548
  4. Step 4: Simplify right side
    48,917,547x = 11,368,794,236,204,304
  5. Step 5: Solve for x
    x = 11,368,794,236,204,304/48,917,547
  6. Step 6: Final answer
    x = 232,407,283.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.