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Finding the Third Proportional to 153,301,144 and 229,895,424

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Solution

The third proportional to 153,301,144 and 229,895,424 is: 344,758,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,301,144 : 229,895,424 = 229,895,424 : x
  2. Step 2: Convert to fraction form
    153,301,144/229,895,424 = 229,895,424/x
  3. Step 3: Cross multiply
    153,301,144x = 229,895,424 × 229,895,424
  4. Step 4: Simplify right side
    153,301,144x = 52,851,905,976,139,776
  5. Step 5: Solve for x
    x = 52,851,905,976,139,776/153,301,144
  6. Step 6: Final answer
    x = 344,758,718.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.