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Finding the Third Proportional to 84,586,809.09 and 134,594,238.94

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Solution

The third proportional to 84,586,809.09 and 134,594,238.94 is: 214,165,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,586,809.09 : 134,594,238.94 = 134,594,238.94 : x
  2. Step 2: Convert to fraction form
    84,586,809.09/134,594,238.94 = 134,594,238.94/x
  3. Step 3: Cross multiply
    84,586,809.09x = 134,594,238.94 × 134,594,238.94
  4. Step 4: Simplify right side
    84,586,809.09x = 18,115,609,155,164,840
  5. Step 5: Solve for x
    x = 18,115,609,155,164,840/84,586,809.09
  6. Step 6: Final answer
    x = 214,165,888.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.