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Finding the Third Proportional to 208,966,784 and 487,971,632

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Solution

The third proportional to 208,966,784 and 487,971,632 is: 1,139,493,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,966,784 : 487,971,632 = 487,971,632 : x
  2. Step 2: Convert to fraction form
    208,966,784/487,971,632 = 487,971,632/x
  3. Step 3: Cross multiply
    208,966,784x = 487,971,632 × 487,971,632
  4. Step 4: Simplify right side
    208,966,784x = 238,116,313,636,743,424
  5. Step 5: Solve for x
    x = 238,116,313,636,743,424/208,966,784
  6. Step 6: Final answer
    x = 1,139,493,603.14

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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.