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Finding the Third Proportional to 90,116,718,768 and 187,649,665,020

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Solution

The third proportional to 90,116,718,768 and 187,649,665,020 is: 390,742,109,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,116,718,768 : 187,649,665,020 = 187,649,665,020 : x
  2. Step 2: Convert to fraction form
    90,116,718,768/187,649,665,020 = 187,649,665,020/x
  3. Step 3: Cross multiply
    90,116,718,768x = 187,649,665,020 × 187,649,665,020
  4. Step 4: Simplify right side
    90,116,718,768x = 35,212,396,782,118,212,993,024
  5. Step 5: Solve for x
    x = 35,212,396,782,118,212,993,024/90,116,718,768
  6. Step 6: Final answer
    x = 390,742,109,383.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.