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Finding the Third Proportional to 230,867,428.50 and 507,907,854

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Solution

The third proportional to 230,867,428.50 and 507,907,854 is: 1,117,396,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,867,428.50 : 507,907,854 = 507,907,854 : x
  2. Step 2: Convert to fraction form
    230,867,428.50/507,907,854 = 507,907,854/x
  3. Step 3: Cross multiply
    230,867,428.50x = 507,907,854 × 507,907,854
  4. Step 4: Simplify right side
    230,867,428.50x = 257,970,388,154,885,312
  5. Step 5: Solve for x
    x = 257,970,388,154,885,312/230,867,428.50
  6. Step 6: Final answer
    x = 1,117,396,203.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.