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Finding the Third Proportional to 157,527,838,280 and 338,947,682,035

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Solution

The third proportional to 157,527,838,280 and 338,947,682,035 is: 729,303,038,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,527,838,280 : 338,947,682,035 = 338,947,682,035 : x
  2. Step 2: Convert to fraction form
    157,527,838,280/338,947,682,035 = 338,947,682,035/x
  3. Step 3: Cross multiply
    157,527,838,280x = 338,947,682,035 × 338,947,682,035
  4. Step 4: Simplify right side
    157,527,838,280x = 114,885,531,156,899,455,565,824
  5. Step 5: Solve for x
    x = 114,885,531,156,899,455,565,824/157,527,838,280
  6. Step 6: Final answer
    x = 729,303,038,823.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.