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Finding the Third Proportional to 207,707,526 and 328,899,559.50

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Solution

The third proportional to 207,707,526 and 328,899,559.50 is: 520,804,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,707,526 : 328,899,559.50 = 328,899,559.50 : x
  2. Step 2: Convert to fraction form
    207,707,526/328,899,559.50 = 328,899,559.50/x
  3. Step 3: Cross multiply
    207,707,526x = 328,899,559.50 × 328,899,559.50
  4. Step 4: Simplify right side
    207,707,526x = 108,174,920,239,294,048
  5. Step 5: Solve for x
    x = 108,174,920,239,294,048/207,707,526
  6. Step 6: Final answer
    x = 520,804,047.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.