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Finding the Third Proportional to 75,807,957 and 116,450,294.63

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Solution

The third proportional to 75,807,957 and 116,450,294.63 is: 178,881,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,807,957 : 116,450,294.63 = 116,450,294.63 : x
  2. Step 2: Convert to fraction form
    75,807,957/116,450,294.63 = 116,450,294.63/x
  3. Step 3: Cross multiply
    75,807,957x = 116,450,294.63 × 116,450,294.63
  4. Step 4: Simplify right side
    75,807,957x = 13,560,671,118,249,304
  5. Step 5: Solve for x
    x = 13,560,671,118,249,304/75,807,957
  6. Step 6: Final answer
    x = 178,881,896.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.