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Finding the Third Proportional to 110,635,389 and 159,835,270.50

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Solution

The third proportional to 110,635,389 and 159,835,270.50 is: 230,914,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,635,389 : 159,835,270.50 = 159,835,270.50 : x
  2. Step 2: Convert to fraction form
    110,635,389/159,835,270.50 = 159,835,270.50/x
  3. Step 3: Cross multiply
    110,635,389x = 159,835,270.50 × 159,835,270.50
  4. Step 4: Simplify right side
    110,635,389x = 25,547,313,695,808,172
  5. Step 5: Solve for x
    x = 25,547,313,695,808,172/110,635,389
  6. Step 6: Final answer
    x = 230,914,483.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.