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Finding the Third Proportional to 153,144,084 and 336,044,004

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Solution

The third proportional to 153,144,084 and 336,044,004 is: 737,381,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,144,084 : 336,044,004 = 336,044,004 : x
  2. Step 2: Convert to fraction form
    153,144,084/336,044,004 = 336,044,004/x
  3. Step 3: Cross multiply
    153,144,084x = 336,044,004 × 336,044,004
  4. Step 4: Simplify right side
    153,144,084x = 112,925,572,624,352,016
  5. Step 5: Solve for x
    x = 112,925,572,624,352,016/153,144,084
  6. Step 6: Final answer
    x = 737,381,227.37

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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.