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Finding the Third Proportional to 235,129,968 and 328,868,462

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Solution

The third proportional to 235,129,968 and 328,868,462 is: 459,977,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,129,968 : 328,868,462 = 328,868,462 : x
  2. Step 2: Convert to fraction form
    235,129,968/328,868,462 = 328,868,462/x
  3. Step 3: Cross multiply
    235,129,968x = 328,868,462 × 328,868,462
  4. Step 4: Simplify right side
    235,129,968x = 108,154,465,298,245,440
  5. Step 5: Solve for x
    x = 108,154,465,298,245,440/235,129,968
  6. Step 6: Final answer
    x = 459,977,374.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.