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Finding the Third Proportional to 102,293,354 and 219,096,724

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Solution

The third proportional to 102,293,354 and 219,096,724 is: 469,271,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,293,354 : 219,096,724 = 219,096,724 : x
  2. Step 2: Convert to fraction form
    102,293,354/219,096,724 = 219,096,724/x
  3. Step 3: Cross multiply
    102,293,354x = 219,096,724 × 219,096,724
  4. Step 4: Simplify right side
    102,293,354x = 48,003,374,467,532,176
  5. Step 5: Solve for x
    x = 48,003,374,467,532,176/102,293,354
  6. Step 6: Final answer
    x = 469,271,683.75

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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.