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Finding the Third Proportional to 99,702,064.69 and 160,193,467.13

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Solution

The third proportional to 99,702,064.69 and 160,193,467.13 is: 257,386,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,702,064.69 : 160,193,467.13 = 160,193,467.13 : x
  2. Step 2: Convert to fraction form
    99,702,064.69/160,193,467.13 = 160,193,467.13/x
  3. Step 3: Cross multiply
    99,702,064.69x = 160,193,467.13 × 160,193,467.13
  4. Step 4: Simplify right side
    99,702,064.69x = 25,661,946,909,528,456
  5. Step 5: Solve for x
    x = 25,661,946,909,528,456/99,702,064.69
  6. Step 6: Final answer
    x = 257,386,313.81

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.