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Finding the Third Proportional to 258,871,160 and 556,163,538

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Solution

The third proportional to 258,871,160 and 556,163,538 is: 1,194,871,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,871,160 : 556,163,538 = 556,163,538 : x
  2. Step 2: Convert to fraction form
    258,871,160/556,163,538 = 556,163,538/x
  3. Step 3: Cross multiply
    258,871,160x = 556,163,538 × 556,163,538
  4. Step 4: Simplify right side
    258,871,160x = 309,317,881,000,677,440
  5. Step 5: Solve for x
    x = 309,317,881,000,677,440/258,871,160
  6. Step 6: Final answer
    x = 1,194,871,923.94

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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.