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Finding the Third Proportional to 153,985,784 and 320,708,899

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Solution

The third proportional to 153,985,784 and 320,708,899 is: 667,946,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,985,784 : 320,708,899 = 320,708,899 : x
  2. Step 2: Convert to fraction form
    153,985,784/320,708,899 = 320,708,899/x
  3. Step 3: Cross multiply
    153,985,784x = 320,708,899 × 320,708,899
  4. Step 4: Simplify right side
    153,985,784x = 102,854,197,897,792,208
  5. Step 5: Solve for x
    x = 102,854,197,897,792,208/153,985,784
  6. Step 6: Final answer
    x = 667,946,061.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.