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Finding the Third Proportional to 102,853,925 and 219,656,962

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Solution

The third proportional to 102,853,925 and 219,656,962 is: 469,103,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,853,925 : 219,656,962 = 219,656,962 : x
  2. Step 2: Convert to fraction form
    102,853,925/219,656,962 = 219,656,962/x
  3. Step 3: Cross multiply
    102,853,925x = 219,656,962 × 219,656,962
  4. Step 4: Simplify right side
    102,853,925x = 48,249,180,955,069,440
  5. Step 5: Solve for x
    x = 48,249,180,955,069,440/102,853,925
  6. Step 6: Final answer
    x = 469,103,935.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.