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Finding the Third Proportional to 55,318,417,776 and 119,026,895,092.50

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Solution

The third proportional to 55,318,417,776 and 119,026,895,092.50 is: 256,106,416,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,318,417,776 : 119,026,895,092.50 = 119,026,895,092.50 : x
  2. Step 2: Convert to fraction form
    55,318,417,776/119,026,895,092.50 = 119,026,895,092.50/x
  3. Step 3: Cross multiply
    55,318,417,776x = 119,026,895,092.50 × 119,026,895,092.50
  4. Step 4: Simplify right side
    55,318,417,776x = 14,167,401,755,361,000,030,208
  5. Step 5: Solve for x
    x = 14,167,401,755,361,000,030,208/55,318,417,776
  6. Step 6: Final answer
    x = 256,106,416,722.34

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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.