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Finding the Third Proportional to 125,888,529,470 and 256,833,990,026

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Solution

The third proportional to 125,888,529,470 and 256,833,990,026 is: 523,984,978,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,888,529,470 : 256,833,990,026 = 256,833,990,026 : x
  2. Step 2: Convert to fraction form
    125,888,529,470/256,833,990,026 = 256,833,990,026/x
  3. Step 3: Cross multiply
    125,888,529,470x = 256,833,990,026 × 256,833,990,026
  4. Step 4: Simplify right side
    125,888,529,470x = 65,963,698,432,675,466,444,800
  5. Step 5: Solve for x
    x = 65,963,698,432,675,466,444,800/125,888,529,470
  6. Step 6: Final answer
    x = 523,984,978,698.12

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.