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Finding the Third Proportional to 103,554,283.50 and 160,787,767.50

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Solution

The third proportional to 103,554,283.50 and 160,787,767.50 is: 249,653,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,554,283.50 : 160,787,767.50 = 160,787,767.50 : x
  2. Step 2: Convert to fraction form
    103,554,283.50/160,787,767.50 = 160,787,767.50/x
  3. Step 3: Cross multiply
    103,554,283.50x = 160,787,767.50 × 160,787,767.50
  4. Step 4: Simplify right side
    103,554,283.50x = 25,852,706,177,634,056
  5. Step 5: Solve for x
    x = 25,852,706,177,634,056/103,554,283.50
  6. Step 6: Final answer
    x = 249,653,662.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.