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Finding the Third Proportional to 109,090,737,670.50 and 254,885,186,970

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Solution

The third proportional to 109,090,737,670.50 and 254,885,186,970 is: 595,526,805,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,090,737,670.50 : 254,885,186,970 = 254,885,186,970 : x
  2. Step 2: Convert to fraction form
    109,090,737,670.50/254,885,186,970 = 254,885,186,970/x
  3. Step 3: Cross multiply
    109,090,737,670.50x = 254,885,186,970 × 254,885,186,970
  4. Step 4: Simplify right side
    109,090,737,670.50x = 64,966,458,536,731,854,503,936
  5. Step 5: Solve for x
    x = 64,966,458,536,731,854,503,936/109,090,737,670.50
  6. Step 6: Final answer
    x = 595,526,805,703.32

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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.