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Finding the Third Proportional to 164,992,036 and 343,535,264

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Solution

The third proportional to 164,992,036 and 343,535,264 is: 715,285,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,992,036 : 343,535,264 = 343,535,264 : x
  2. Step 2: Convert to fraction form
    164,992,036/343,535,264 = 343,535,264/x
  3. Step 3: Cross multiply
    164,992,036x = 343,535,264 × 343,535,264
  4. Step 4: Simplify right side
    164,992,036x = 118,016,477,611,549,696
  5. Step 5: Solve for x
    x = 118,016,477,611,549,696/164,992,036
  6. Step 6: Final answer
    x = 715,285,903.93

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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.