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Finding the Third Proportional to 232,815,690 and 506,965,679

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Solution

The third proportional to 232,815,690 and 506,965,679 is: 1,103,938,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,815,690 : 506,965,679 = 506,965,679 : x
  2. Step 2: Convert to fraction form
    232,815,690/506,965,679 = 506,965,679/x
  3. Step 3: Cross multiply
    232,815,690x = 506,965,679 × 506,965,679
  4. Step 4: Simplify right side
    232,815,690x = 257,014,199,683,931,040
  5. Step 5: Solve for x
    x = 257,014,199,683,931,040/232,815,690
  6. Step 6: Final answer
    x = 1,103,938,483.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.