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Finding the Third Proportional to 114,084,696 and 249,075,171

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Solution

The third proportional to 114,084,696 and 249,075,171 is: 543,792,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,084,696 : 249,075,171 = 249,075,171 : x
  2. Step 2: Convert to fraction form
    114,084,696/249,075,171 = 249,075,171/x
  3. Step 3: Cross multiply
    114,084,696x = 249,075,171 × 249,075,171
  4. Step 4: Simplify right side
    114,084,696x = 62,038,440,808,679,240
  5. Step 5: Solve for x
    x = 62,038,440,808,679,240/114,084,696
  6. Step 6: Final answer
    x = 543,792,839.74

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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.