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Finding the Third Proportional to 99,722.07 and 153,273.67

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Solution

The third proportional to 99,722.07 and 153,273.67 is: 235,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,722.07 : 153,273.67 = 153,273.67 : x
  2. Step 2: Convert to fraction form
    99,722.07/153,273.67 = 153,273.67/x
  3. Step 3: Cross multiply
    99,722.07x = 153,273.67 × 153,273.67
  4. Step 4: Simplify right side
    99,722.07x = 23,492,819,088.77
  5. Step 5: Solve for x
    x = 23,492,819,088.77/99,722.07
  6. Step 6: Final answer
    x = 235,582.94

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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.