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Finding the Third Proportional to 210,004,123.50 and 302,519,144.25

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Solution

The third proportional to 210,004,123.50 and 302,519,144.25 is: 435,790,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,004,123.50 : 302,519,144.25 = 302,519,144.25 : x
  2. Step 2: Convert to fraction form
    210,004,123.50/302,519,144.25 = 302,519,144.25/x
  3. Step 3: Cross multiply
    210,004,123.50x = 302,519,144.25 × 302,519,144.25
  4. Step 4: Simplify right side
    210,004,123.50x = 91,517,832,637,752,304
  5. Step 5: Solve for x
    x = 91,517,832,637,752,304/210,004,123.50
  6. Step 6: Final answer
    x = 435,790,645.98

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.