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Finding the Third Proportional to 189,547,324 and 291,218,514

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Solution

The third proportional to 189,547,324 and 291,218,514 is: 447,425,060.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,547,324 : 291,218,514 = 291,218,514 : x
  2. Step 2: Convert to fraction form
    189,547,324/291,218,514 = 291,218,514/x
  3. Step 3: Cross multiply
    189,547,324x = 291,218,514 × 291,218,514
  4. Step 4: Simplify right side
    189,547,324x = 84,808,222,896,368,192
  5. Step 5: Solve for x
    x = 84,808,222,896,368,192/189,547,324
  6. Step 6: Final answer
    x = 447,425,060.44

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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.