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Finding the Third Proportional to 121,794,961,259 and 253,613,132,633

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Solution

The third proportional to 121,794,961,259 and 253,613,132,633 is: 528,097,553,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,794,961,259 : 253,613,132,633 = 253,613,132,633 : x
  2. Step 2: Convert to fraction form
    121,794,961,259/253,613,132,633 = 253,613,132,633/x
  3. Step 3: Cross multiply
    121,794,961,259x = 253,613,132,633 × 253,613,132,633
  4. Step 4: Simplify right side
    121,794,961,259x = 64,319,621,043,923,646,939,136
  5. Step 5: Solve for x
    x = 64,319,621,043,923,646,939,136/121,794,961,259
  6. Step 6: Final answer
    x = 528,097,553,289.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.