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Finding the Third Proportional to 103,635,000,470 and 159,223,724,337

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Solution

The third proportional to 103,635,000,470 and 159,223,724,337 is: 244,629,654,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635,000,470 : 159,223,724,337 = 159,223,724,337 : x
  2. Step 2: Convert to fraction form
    103,635,000,470/159,223,724,337 = 159,223,724,337/x
  3. Step 3: Cross multiply
    103,635,000,470x = 159,223,724,337 × 159,223,724,337
  4. Step 4: Simplify right side
    103,635,000,470x = 25,352,194,391,744,964,460,544
  5. Step 5: Solve for x
    x = 25,352,194,391,744,964,460,544/103,635,000,470
  6. Step 6: Final answer
    x = 244,629,654,815.16

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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.