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Finding the Third Proportional to 55,197,927 and 120,421,948.50

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Solution

The third proportional to 55,197,927 and 120,421,948.50 is: 262,717,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,197,927 : 120,421,948.50 = 120,421,948.50 : x
  2. Step 2: Convert to fraction form
    55,197,927/120,421,948.50 = 120,421,948.50/x
  3. Step 3: Cross multiply
    55,197,927x = 120,421,948.50 × 120,421,948.50
  4. Step 4: Simplify right side
    55,197,927x = 14,501,445,680,536,652
  5. Step 5: Solve for x
    x = 14,501,445,680,536,652/55,197,927
  6. Step 6: Final answer
    x = 262,717,215.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.