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Finding the Third Proportional to 189,547,326 and 291,218,517

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Solution

The third proportional to 189,547,326 and 291,218,517 is: 447,425,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,547,326 : 291,218,517 = 291,218,517 : x
  2. Step 2: Convert to fraction form
    189,547,326/291,218,517 = 291,218,517/x
  3. Step 3: Cross multiply
    189,547,326x = 291,218,517 × 291,218,517
  4. Step 4: Simplify right side
    189,547,326x = 84,808,224,643,679,296
  5. Step 5: Solve for x
    x = 84,808,224,643,679,296/189,547,326
  6. Step 6: Final answer
    x = 447,425,064.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.