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Finding the Third Proportional to 208,966,762 and 487,971,576

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Solution

The third proportional to 208,966,762 and 487,971,576 is: 1,139,493,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,966,762 : 487,971,576 = 487,971,576 : x
  2. Step 2: Convert to fraction form
    208,966,762/487,971,576 = 487,971,576/x
  3. Step 3: Cross multiply
    208,966,762x = 487,971,576 × 487,971,576
  4. Step 4: Simplify right side
    208,966,762x = 238,116,258,983,923,776
  5. Step 5: Solve for x
    x = 238,116,258,983,923,776/208,966,762
  6. Step 6: Final answer
    x = 1,139,493,461.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.