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Finding the Third Proportional to 149,169,816 and 325,435,712

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Solution

The third proportional to 149,169,816 and 325,435,712 is: 709,985,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,169,816 : 325,435,712 = 325,435,712 : x
  2. Step 2: Convert to fraction form
    149,169,816/325,435,712 = 325,435,712/x
  3. Step 3: Cross multiply
    149,169,816x = 325,435,712 × 325,435,712
  4. Step 4: Simplify right side
    149,169,816x = 105,908,402,644,946,944
  5. Step 5: Solve for x
    x = 105,908,402,644,946,944/149,169,816
  6. Step 6: Final answer
    x = 709,985,474.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.