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Finding the Third Proportional to 303,402,145.50 and 665,859,669.75

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Solution

The third proportional to 303,402,145.50 and 665,859,669.75 is: 1,461,324,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,402,145.50 : 665,859,669.75 = 665,859,669.75 : x
  2. Step 2: Convert to fraction form
    303,402,145.50/665,859,669.75 = 665,859,669.75/x
  3. Step 3: Cross multiply
    303,402,145.50x = 665,859,669.75 × 665,859,669.75
  4. Step 4: Simplify right side
    303,402,145.50x = 443,369,099,799,579,072
  5. Step 5: Solve for x
    x = 443,369,099,799,579,072/303,402,145.50
  6. Step 6: Final answer
    x = 1,461,324,866.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.