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Finding the Third Proportional to 109,090,737,669 and 254,885,186,967

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Solution

The third proportional to 109,090,737,669 and 254,885,186,967 is: 595,526,805,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,090,737,669 : 254,885,186,967 = 254,885,186,967 : x
  2. Step 2: Convert to fraction form
    109,090,737,669/254,885,186,967 = 254,885,186,967/x
  3. Step 3: Cross multiply
    109,090,737,669x = 254,885,186,967 × 254,885,186,967
  4. Step 4: Simplify right side
    109,090,737,669x = 64,966,458,535,202,544,156,672
  5. Step 5: Solve for x
    x = 64,966,458,535,202,544,156,672/109,090,737,669
  6. Step 6: Final answer
    x = 595,526,805,697.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.