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Finding the Third Proportional to 208,845,003 and 442,585,950

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Solution

The third proportional to 208,845,003 and 442,585,950 is: 937,931,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,845,003 : 442,585,950 = 442,585,950 : x
  2. Step 2: Convert to fraction form
    208,845,003/442,585,950 = 442,585,950/x
  3. Step 3: Cross multiply
    208,845,003x = 442,585,950 × 442,585,950
  4. Step 4: Simplify right side
    208,845,003x = 195,882,323,137,402,496
  5. Step 5: Solve for x
    x = 195,882,323,137,402,496/208,845,003
  6. Step 6: Final answer
    x = 937,931,577.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.