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Finding the Third Proportional to 54,837,283,180.50 and 119,409,800,229

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Solution

The third proportional to 54,837,283,180.50 and 119,409,800,229 is: 260,018,359,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,837,283,180.50 : 119,409,800,229 = 119,409,800,229 : x
  2. Step 2: Convert to fraction form
    54,837,283,180.50/119,409,800,229 = 119,409,800,229/x
  3. Step 3: Cross multiply
    54,837,283,180.50x = 119,409,800,229 × 119,409,800,229
  4. Step 4: Simplify right side
    54,837,283,180.50x = 14,258,700,390,729,689,071,616
  5. Step 5: Solve for x
    x = 14,258,700,390,729,689,071,616/54,837,283,180.50
  6. Step 6: Final answer
    x = 260,018,359,111.56

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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.