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Finding the Third Proportional to 258,945,988 and 554,827,085

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Solution

The third proportional to 258,945,988 and 554,827,085 is: 1,188,792,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,945,988 : 554,827,085 = 554,827,085 : x
  2. Step 2: Convert to fraction form
    258,945,988/554,827,085 = 554,827,085/x
  3. Step 3: Cross multiply
    258,945,988x = 554,827,085 × 554,827,085
  4. Step 4: Simplify right side
    258,945,988x = 307,833,094,249,597,248
  5. Step 5: Solve for x
    x = 307,833,094,249,597,248/258,945,988
  6. Step 6: Final answer
    x = 1,188,792,676.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.