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Finding the Third Proportional to 51,908,569.50 and 112,024,423.50

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Solution

The third proportional to 51,908,569.50 and 112,024,423.50 is: 241,761,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,908,569.50 : 112,024,423.50 = 112,024,423.50 : x
  2. Step 2: Convert to fraction form
    51,908,569.50/112,024,423.50 = 112,024,423.50/x
  3. Step 3: Cross multiply
    51,908,569.50x = 112,024,423.50 × 112,024,423.50
  4. Step 4: Simplify right side
    51,908,569.50x = 12,549,471,460,507,352
  5. Step 5: Solve for x
    x = 12,549,471,460,507,352/51,908,569.50
  6. Step 6: Final answer
    x = 241,761,073.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.