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Finding the Third Proportional to 82,268,103,487 and 115,851,618,282

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Solution

The third proportional to 82,268,103,487 and 115,851,618,282 is: 163,144,607,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,268,103,487 : 115,851,618,282 = 115,851,618,282 : x
  2. Step 2: Convert to fraction form
    82,268,103,487/115,851,618,282 = 115,851,618,282/x
  3. Step 3: Cross multiply
    82,268,103,487x = 115,851,618,282 × 115,851,618,282
  4. Step 4: Simplify right side
    82,268,103,487x = 13,421,597,458,558,235,967,488
  5. Step 5: Solve for x
    x = 13,421,597,458,558,235,967,488/82,268,103,487
  6. Step 6: Final answer
    x = 163,144,607,565.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.