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Finding the Third Proportional to 148,704,111 and 322,112,574

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Solution

The third proportional to 148,704,111 and 322,112,574 is: 697,738,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,704,111 : 322,112,574 = 322,112,574 : x
  2. Step 2: Convert to fraction form
    148,704,111/322,112,574 = 322,112,574/x
  3. Step 3: Cross multiply
    148,704,111x = 322,112,574 × 322,112,574
  4. Step 4: Simplify right side
    148,704,111x = 103,756,510,328,905,472
  5. Step 5: Solve for x
    x = 103,756,510,328,905,472/148,704,111
  6. Step 6: Final answer
    x = 697,738,008.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.