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Finding the Third Proportional to 92,084,550.47 and 138,093,012.84

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Solution

The third proportional to 92,084,550.47 and 138,093,012.84 is: 207,088,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,084,550.47 : 138,093,012.84 = 138,093,012.84 : x
  2. Step 2: Convert to fraction form
    92,084,550.47/138,093,012.84 = 138,093,012.84/x
  3. Step 3: Cross multiply
    92,084,550.47x = 138,093,012.84 × 138,093,012.84
  4. Step 4: Simplify right side
    92,084,550.47x = 19,069,680,196,264,104
  5. Step 5: Solve for x
    x = 19,069,680,196,264,104/92,084,550.47
  6. Step 6: Final answer
    x = 207,088,812.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.