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Finding the Third Proportional to 258,541,095 and 552,913,998

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Solution

The third proportional to 258,541,095 and 552,913,998 is: 1,182,457,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,541,095 : 552,913,998 = 552,913,998 : x
  2. Step 2: Convert to fraction form
    258,541,095/552,913,998 = 552,913,998/x
  3. Step 3: Cross multiply
    258,541,095x = 552,913,998 × 552,913,998
  4. Step 4: Simplify right side
    258,541,095x = 305,713,889,184,344,000
  5. Step 5: Solve for x
    x = 305,713,889,184,344,000/258,541,095
  6. Step 6: Final answer
    x = 1,182,457,625.10

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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.