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Finding the Third Proportional to 150,973,831.13 and 330,208,072.88

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Solution

The third proportional to 150,973,831.13 and 330,208,072.88 is: 722,226,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,973,831.13 : 330,208,072.88 = 330,208,072.88 : x
  2. Step 2: Convert to fraction form
    150,973,831.13/330,208,072.88 = 330,208,072.88/x
  3. Step 3: Cross multiply
    150,973,831.13x = 330,208,072.88 × 330,208,072.88
  4. Step 4: Simplify right side
    150,973,831.13x = 109,037,371,391,821,312
  5. Step 5: Solve for x
    x = 109,037,371,391,821,312/150,973,831.13
  6. Step 6: Final answer
    x = 722,226,961.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.