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Finding the Third Proportional to 54,705,123 and 86,624,140.50

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Solution

The third proportional to 54,705,123 and 86,624,140.50 is: 137,167,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,705,123 : 86,624,140.50 = 86,624,140.50 : x
  2. Step 2: Convert to fraction form
    54,705,123/86,624,140.50 = 86,624,140.50/x
  3. Step 3: Cross multiply
    54,705,123x = 86,624,140.50 × 86,624,140.50
  4. Step 4: Simplify right side
    54,705,123x = 7,503,741,717,363,740
  5. Step 5: Solve for x
    x = 7,503,741,717,363,740/54,705,123
  6. Step 6: Final answer
    x = 137,167,075.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.