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Finding the Third Proportional to 122,480,102,757 and 192,134,966,872.50

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Solution

The third proportional to 122,480,102,757 and 192,134,966,872.50 is: 301,402,796,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,480,102,757 : 192,134,966,872.50 = 192,134,966,872.50 : x
  2. Step 2: Convert to fraction form
    122,480,102,757/192,134,966,872.50 = 192,134,966,872.50/x
  3. Step 3: Cross multiply
    122,480,102,757x = 192,134,966,872.50 × 192,134,966,872.50
  4. Step 4: Simplify right side
    122,480,102,757x = 36,915,845,495,096,673,828,864
  5. Step 5: Solve for x
    x = 36,915,845,495,096,673,828,864/122,480,102,757
  6. Step 6: Final answer
    x = 301,402,796,569.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.