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Finding the Third Proportional to 119,872,254 and 258,404,316

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Solution

The third proportional to 119,872,254 and 258,404,316 is: 557,032,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,872,254 : 258,404,316 = 258,404,316 : x
  2. Step 2: Convert to fraction form
    119,872,254/258,404,316 = 258,404,316/x
  3. Step 3: Cross multiply
    119,872,254x = 258,404,316 × 258,404,316
  4. Step 4: Simplify right side
    119,872,254x = 66,772,790,527,427,856
  5. Step 5: Solve for x
    x = 66,772,790,527,427,856/119,872,254
  6. Step 6: Final answer
    x = 557,032,910.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.