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Finding the Third Proportional to 119,913,264 and 258,013,584

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Solution

The third proportional to 119,913,264 and 258,013,584 is: 555,159,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,913,264 : 258,013,584 = 258,013,584 : x
  2. Step 2: Convert to fraction form
    119,913,264/258,013,584 = 258,013,584/x
  3. Step 3: Cross multiply
    119,913,264x = 258,013,584 × 258,013,584
  4. Step 4: Simplify right side
    119,913,264x = 66,571,009,528,525,056
  5. Step 5: Solve for x
    x = 66,571,009,528,525,056/119,913,264
  6. Step 6: Final answer
    x = 555,159,682.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.