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Finding the Third Proportional to 301,873,806.50 and 652,216,606

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Solution

The third proportional to 301,873,806.50 and 652,216,606 is: 1,409,153,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,873,806.50 : 652,216,606 = 652,216,606 : x
  2. Step 2: Convert to fraction form
    301,873,806.50/652,216,606 = 652,216,606/x
  3. Step 3: Cross multiply
    301,873,806.50x = 652,216,606 × 652,216,606
  4. Step 4: Simplify right side
    301,873,806.50x = 425,386,501,142,159,232
  5. Step 5: Solve for x
    x = 425,386,501,142,159,232/301,873,806.50
  6. Step 6: Final answer
    x = 1,409,153,401.13

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Why These Related Problems?

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