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Finding the Third Proportional to 151,329,994.88 and 314,737,661.81

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Solution

The third proportional to 151,329,994.88 and 314,737,661.81 is: 654,594,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,329,994.88 : 314,737,661.81 = 314,737,661.81 : x
  2. Step 2: Convert to fraction form
    151,329,994.88/314,737,661.81 = 314,737,661.81/x
  3. Step 3: Cross multiply
    151,329,994.88x = 314,737,661.81 × 314,737,661.81
  4. Step 4: Simplify right side
    151,329,994.88x = 99,059,795,763,199,616
  5. Step 5: Solve for x
    x = 99,059,795,763,199,616/151,329,994.88
  6. Step 6: Final answer
    x = 654,594,588.77

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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.