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Finding the Third Proportional to 178,546,336,338 and 385,495,514,781

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Solution

The third proportional to 178,546,336,338 and 385,495,514,781 is: 832,314,988,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,546,336,338 : 385,495,514,781 = 385,495,514,781 : x
  2. Step 2: Convert to fraction form
    178,546,336,338/385,495,514,781 = 385,495,514,781/x
  3. Step 3: Cross multiply
    178,546,336,338x = 385,495,514,781 × 385,495,514,781
  4. Step 4: Simplify right side
    178,546,336,338x = 148,606,791,916,268,197,773,312
  5. Step 5: Solve for x
    x = 148,606,791,916,268,197,773,312/178,546,336,338
  6. Step 6: Final answer
    x = 832,314,988,726.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.