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Finding the Third Proportional to 178,546,336,317 and 385,495,514,739

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Solution

The third proportional to 178,546,336,317 and 385,495,514,739 is: 832,314,988,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,546,336,317 : 385,495,514,739 = 385,495,514,739 : x
  2. Step 2: Convert to fraction form
    178,546,336,317/385,495,514,739 = 385,495,514,739/x
  3. Step 3: Cross multiply
    178,546,336,317x = 385,495,514,739 × 385,495,514,739
  4. Step 4: Simplify right side
    178,546,336,317x = 148,606,791,883,886,560,280,576
  5. Step 5: Solve for x
    x = 148,606,791,883,886,560,280,576/178,546,336,317
  6. Step 6: Final answer
    x = 832,314,988,642.74

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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.