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Finding the Third Proportional to 102,157,173,264 and 238,685,260,986

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Solution

The third proportional to 102,157,173,264 and 238,685,260,986 is: 557,676,489,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,157,173,264 : 238,685,260,986 = 238,685,260,986 : x
  2. Step 2: Convert to fraction form
    102,157,173,264/238,685,260,986 = 238,685,260,986/x
  3. Step 3: Cross multiply
    102,157,173,264x = 238,685,260,986 × 238,685,260,986
  4. Step 4: Simplify right side
    102,157,173,264x = 56,970,653,811,954,931,466,240
  5. Step 5: Solve for x
    x = 56,970,653,811,954,931,466,240/102,157,173,264
  6. Step 6: Final answer
    x = 557,676,489,978.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.