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Finding the Third Proportional to 212,123,341.50 and 456,665,664

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Solution

The third proportional to 212,123,341.50 and 456,665,664 is: 983,123,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,123,341.50 : 456,665,664 = 456,665,664 : x
  2. Step 2: Convert to fraction form
    212,123,341.50/456,665,664 = 456,665,664/x
  3. Step 3: Cross multiply
    212,123,341.50x = 456,665,664 × 456,665,664
  4. Step 4: Simplify right side
    212,123,341.50x = 208,543,528,676,560,896
  5. Step 5: Solve for x
    x = 208,543,528,676,560,896/212,123,341.50
  6. Step 6: Final answer
    x = 983,123,908.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.