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Finding the Third Proportional to 214,650,688.50 and 463,290,273

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Solution

The third proportional to 214,650,688.50 and 463,290,273 is: 999,940,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,650,688.50 : 463,290,273 = 463,290,273 : x
  2. Step 2: Convert to fraction form
    214,650,688.50/463,290,273 = 463,290,273/x
  3. Step 3: Cross multiply
    214,650,688.50x = 463,290,273 × 463,290,273
  4. Step 4: Simplify right side
    214,650,688.50x = 214,637,877,056,414,528
  5. Step 5: Solve for x
    x = 214,637,877,056,414,528/214,650,688.50
  6. Step 6: Final answer
    x = 999,940,314.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.