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Finding the Third Proportional to 184,776,576.75 and 286,011,465.75

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Solution

The third proportional to 184,776,576.75 and 286,011,465.75 is: 442,710,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,776,576.75 : 286,011,465.75 = 286,011,465.75 : x
  2. Step 2: Convert to fraction form
    184,776,576.75/286,011,465.75 = 286,011,465.75/x
  3. Step 3: Cross multiply
    184,776,576.75x = 286,011,465.75 × 286,011,465.75
  4. Step 4: Simplify right side
    184,776,576.75x = 81,802,558,540,463,424
  5. Step 5: Solve for x
    x = 81,802,558,540,463,424/184,776,576.75
  6. Step 6: Final answer
    x = 442,710,650.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.