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Finding the Third Proportional to 102,132,281 and 218,611,276

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Solution

The third proportional to 102,132,281 and 218,611,276 is: 467,931,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,132,281 : 218,611,276 = 218,611,276 : x
  2. Step 2: Convert to fraction form
    102,132,281/218,611,276 = 218,611,276/x
  3. Step 3: Cross multiply
    102,132,281x = 218,611,276 × 218,611,276
  4. Step 4: Simplify right side
    102,132,281x = 47,790,889,994,348,176
  5. Step 5: Solve for x
    x = 47,790,889,994,348,176/102,132,281
  6. Step 6: Final answer
    x = 467,931,289.95

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