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Finding the Third Proportional to 86,189,784 and 186,053,664

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Solution

The third proportional to 86,189,784 and 186,053,664 is: 401,624,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,189,784 : 186,053,664 = 186,053,664 : x
  2. Step 2: Convert to fraction form
    86,189,784/186,053,664 = 186,053,664/x
  3. Step 3: Cross multiply
    86,189,784x = 186,053,664 × 186,053,664
  4. Step 4: Simplify right side
    86,189,784x = 34,615,965,887,824,896
  5. Step 5: Solve for x
    x = 34,615,965,887,824,896/86,189,784
  6. Step 6: Final answer
    x = 401,624,929.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.