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Finding the Third Proportional to 137,772,821,088 and 191,562,095,274

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Solution

The third proportional to 137,772,821,088 and 191,562,095,274 is: 266,351,781,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,772,821,088 : 191,562,095,274 = 191,562,095,274 : x
  2. Step 2: Convert to fraction form
    137,772,821,088/191,562,095,274 = 191,562,095,274/x
  3. Step 3: Cross multiply
    137,772,821,088x = 191,562,095,274 × 191,562,095,274
  4. Step 4: Simplify right side
    137,772,821,088x = 36,696,036,345,765,053,857,792
  5. Step 5: Solve for x
    x = 36,696,036,345,765,053,857,792/137,772,821,088
  6. Step 6: Final answer
    x = 266,351,781,548.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.