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Finding the Third Proportional to 86,461,139.81 and 188,273,862.84

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Solution

The third proportional to 86,461,139.81 and 188,273,862.84 is: 409,976,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,461,139.81 : 188,273,862.84 = 188,273,862.84 : x
  2. Step 2: Convert to fraction form
    86,461,139.81/188,273,862.84 = 188,273,862.84/x
  3. Step 3: Cross multiply
    86,461,139.81x = 188,273,862.84 × 188,273,862.84
  4. Step 4: Simplify right side
    86,461,139.81x = 35,447,047,430,107,188
  5. Step 5: Solve for x
    x = 35,447,047,430,107,188/86,461,139.81
  6. Step 6: Final answer
    x = 409,976,638.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.