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Finding the Third Proportional to 181,116,097.50 and 282,435,807

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Solution

The third proportional to 181,116,097.50 and 282,435,807 is: 440,435,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,116,097.50 : 282,435,807 = 282,435,807 : x
  2. Step 2: Convert to fraction form
    181,116,097.50/282,435,807 = 282,435,807/x
  3. Step 3: Cross multiply
    181,116,097.50x = 282,435,807 × 282,435,807
  4. Step 4: Simplify right side
    181,116,097.50x = 79,769,985,075,741,248
  5. Step 5: Solve for x
    x = 79,769,985,075,741,248/181,116,097.50
  6. Step 6: Final answer
    x = 440,435,644.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.