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Finding the Third Proportional to 287,106,421.50 and 445,422,424.50

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Solution

The third proportional to 287,106,421.50 and 445,422,424.50 is: 691,036,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,106,421.50 : 445,422,424.50 = 445,422,424.50 : x
  2. Step 2: Convert to fraction form
    287,106,421.50/445,422,424.50 = 445,422,424.50/x
  3. Step 3: Cross multiply
    287,106,421.50x = 445,422,424.50 × 445,422,424.50
  4. Step 4: Simplify right side
    287,106,421.50x = 198,401,136,247,458,208
  5. Step 5: Solve for x
    x = 198,401,136,247,458,208/287,106,421.50
  6. Step 6: Final answer
    x = 691,036,916.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.