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Finding the Third Proportional to 145,220,801,220 and 310,841,673,294

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Solution

The third proportional to 145,220,801,220 and 310,841,673,294 is: 665,349,213,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,220,801,220 : 310,841,673,294 = 310,841,673,294 : x
  2. Step 2: Convert to fraction form
    145,220,801,220/310,841,673,294 = 310,841,673,294/x
  3. Step 3: Cross multiply
    145,220,801,220x = 310,841,673,294 × 310,841,673,294
  4. Step 4: Simplify right side
    145,220,801,220x = 96,622,545,856,213,834,268,672
  5. Step 5: Solve for x
    x = 96,622,545,856,213,834,268,672/145,220,801,220
  6. Step 6: Final answer
    x = 665,349,213,366.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.