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Finding the Third Proportional to 103,635,000,468 and 159,223,724,334

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Solution

The third proportional to 103,635,000,468 and 159,223,724,334 is: 244,629,654,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635,000,468 : 159,223,724,334 = 159,223,724,334 : x
  2. Step 2: Convert to fraction form
    103,635,000,468/159,223,724,334 = 159,223,724,334/x
  3. Step 3: Cross multiply
    103,635,000,468x = 159,223,724,334 × 159,223,724,334
  4. Step 4: Simplify right side
    103,635,000,468x = 25,352,194,390,789,623,644,160
  5. Step 5: Solve for x
    x = 25,352,194,390,789,623,644,160/103,635,000,468
  6. Step 6: Final answer
    x = 244,629,654,810.66

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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.