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Finding the Third Proportional to 184,560,681.94 and 400,807,779.19

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Solution

The third proportional to 184,560,681.94 and 400,807,779.19 is: 870,428,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,560,681.94 : 400,807,779.19 = 400,807,779.19 : x
  2. Step 2: Convert to fraction form
    184,560,681.94/400,807,779.19 = 400,807,779.19/x
  3. Step 3: Cross multiply
    184,560,681.94x = 400,807,779.19 × 400,807,779.19
  4. Step 4: Simplify right side
    184,560,681.94x = 160,646,875,857,215,744
  5. Step 5: Solve for x
    x = 160,646,875,857,215,744/184,560,681.94
  6. Step 6: Final answer
    x = 870,428,490.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.