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Finding the Third Proportional to 139,804,970 and 209,707,473

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Solution

The third proportional to 139,804,970 and 209,707,473 is: 314,561,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,804,970 : 209,707,473 = 209,707,473 : x
  2. Step 2: Convert to fraction form
    139,804,970/209,707,473 = 209,707,473/x
  3. Step 3: Cross multiply
    139,804,970x = 209,707,473 × 209,707,473
  4. Step 4: Simplify right side
    139,804,970x = 43,977,224,232,045,728
  5. Step 5: Solve for x
    x = 43,977,224,232,045,728/139,804,970
  6. Step 6: Final answer
    x = 314,561,236.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.