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Finding the Third Proportional to 98,712,879,772 and 150,382,244,202

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Solution

The third proportional to 98,712,879,772 and 150,382,244,202 is: 229,096,946,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712,879,772 : 150,382,244,202 = 150,382,244,202 : x
  2. Step 2: Convert to fraction form
    98,712,879,772/150,382,244,202 = 150,382,244,202/x
  3. Step 3: Cross multiply
    98,712,879,772x = 150,382,244,202 × 150,382,244,202
  4. Step 4: Simplify right side
    98,712,879,772x = 22,614,819,371,229,963,616,256
  5. Step 5: Solve for x
    x = 22,614,819,371,229,963,616,256/98,712,879,772
  6. Step 6: Final answer
    x = 229,096,946,857.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.