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Finding the Third Proportional to 104,842,107 and 164,107,863

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Solution

The third proportional to 104,842,107 and 164,107,863 is: 256,875,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,842,107 : 164,107,863 = 164,107,863 : x
  2. Step 2: Convert to fraction form
    104,842,107/164,107,863 = 164,107,863/x
  3. Step 3: Cross multiply
    104,842,107x = 164,107,863 × 164,107,863
  4. Step 4: Simplify right side
    104,842,107x = 26,931,390,698,426,768
  5. Step 5: Solve for x
    x = 26,931,390,698,426,768/104,842,107
  6. Step 6: Final answer
    x = 256,875,710.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.