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Finding the Third Proportional to 114,084,691 and 249,075,162

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Solution

The third proportional to 114,084,691 and 249,075,162 is: 543,792,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,084,691 : 249,075,162 = 249,075,162 : x
  2. Step 2: Convert to fraction form
    114,084,691/249,075,162 = 249,075,162/x
  3. Step 3: Cross multiply
    114,084,691x = 249,075,162 × 249,075,162
  4. Step 4: Simplify right side
    114,084,691x = 62,038,436,325,326,240
  5. Step 5: Solve for x
    x = 62,038,436,325,326,240/114,084,691
  6. Step 6: Final answer
    x = 543,792,824.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.