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Finding the Third Proportional to 96,685,436,196 and 208,064,157,534

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Solution

The third proportional to 96,685,436,196 and 208,064,157,534 is: 447,747,823,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,685,436,196 : 208,064,157,534 = 208,064,157,534 : x
  2. Step 2: Convert to fraction form
    96,685,436,196/208,064,157,534 = 208,064,157,534/x
  3. Step 3: Cross multiply
    96,685,436,196x = 208,064,157,534 × 208,064,157,534
  4. Step 4: Simplify right side
    96,685,436,196x = 43,290,693,650,333,168,566,272
  5. Step 5: Solve for x
    x = 43,290,693,650,333,168,566,272/96,685,436,196
  6. Step 6: Final answer
    x = 447,747,823,804.35

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Why These Related Problems?

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