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Finding the Third Proportional to 180,689,811.86 and 243,792,981.62

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Solution

The third proportional to 180,689,811.86 and 243,792,981.62 is: 328,933,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,689,811.86 : 243,792,981.62 = 243,792,981.62 : x
  2. Step 2: Convert to fraction form
    180,689,811.86/243,792,981.62 = 243,792,981.62/x
  3. Step 3: Cross multiply
    180,689,811.86x = 243,792,981.62 × 243,792,981.62
  4. Step 4: Simplify right side
    180,689,811.86x = 59,435,017,884,848,752
  5. Step 5: Solve for x
    x = 59,435,017,884,848,752/180,689,811.86
  6. Step 6: Final answer
    x = 328,933,974.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.