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Finding the Third Proportional to 103,635,005,674 and 159,223,732,143

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Solution

The third proportional to 103,635,005,674 and 159,223,732,143 is: 244,629,666,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635,005,674 : 159,223,732,143 = 159,223,732,143 : x
  2. Step 2: Convert to fraction form
    103,635,005,674/159,223,732,143 = 159,223,732,143/x
  3. Step 3: Cross multiply
    103,635,005,674x = 159,223,732,143 × 159,223,732,143
  4. Step 4: Simplify right side
    103,635,005,674x = 25,352,196,877,545,812,000,768
  5. Step 5: Solve for x
    x = 25,352,196,877,545,812,000,768/103,635,005,674
  6. Step 6: Final answer
    x = 244,629,666,517.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.