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Finding the Third Proportional to 86,229,068.25 and 189,152,260.13

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Solution

The third proportional to 86,229,068.25 and 189,152,260.13 is: 414,924,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,229,068.25 : 189,152,260.13 = 189,152,260.13 : x
  2. Step 2: Convert to fraction form
    86,229,068.25/189,152,260.13 = 189,152,260.13/x
  3. Step 3: Cross multiply
    86,229,068.25x = 189,152,260.13 × 189,152,260.13
  4. Step 4: Simplify right side
    86,229,068.25x = 35,778,577,510,395,664
  5. Step 5: Solve for x
    x = 35,778,577,510,395,664/86,229,068.25
  6. Step 6: Final answer
    x = 414,924,783.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.