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Finding the Third Proportional to 86,617,010 and 180,398,768

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Solution

The third proportional to 86,617,010 and 180,398,768 is: 375,719,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,617,010 : 180,398,768 = 180,398,768 : x
  2. Step 2: Convert to fraction form
    86,617,010/180,398,768 = 180,398,768/x
  3. Step 3: Cross multiply
    86,617,010x = 180,398,768 × 180,398,768
  4. Step 4: Simplify right side
    86,617,010x = 32,543,715,495,917,824
  5. Step 5: Solve for x
    x = 32,543,715,495,917,824/86,617,010
  6. Step 6: Final answer
    x = 375,719,682.50

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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.