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Finding the Third Proportional to 183,009,998 and 278,803,083

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Solution

The third proportional to 183,009,998 and 278,803,083 is: 424,737,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,009,998 : 278,803,083 = 278,803,083 : x
  2. Step 2: Convert to fraction form
    183,009,998/278,803,083 = 278,803,083/x
  3. Step 3: Cross multiply
    183,009,998x = 278,803,083 × 278,803,083
  4. Step 4: Simplify right side
    183,009,998x = 77,731,159,090,304,896
  5. Step 5: Solve for x
    x = 77,731,159,090,304,896/183,009,998
  6. Step 6: Final answer
    x = 424,737,227.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.