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Finding the Third Proportional to 114,084,731 and 249,075,232

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Solution

The third proportional to 114,084,731 and 249,075,232 is: 543,792,939.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,084,731 : 249,075,232 = 249,075,232 : x
  2. Step 2: Convert to fraction form
    114,084,731/249,075,232 = 249,075,232/x
  3. Step 3: Cross multiply
    114,084,731x = 249,075,232 × 249,075,232
  4. Step 4: Simplify right side
    114,084,731x = 62,038,471,195,853,824
  5. Step 5: Solve for x
    x = 62,038,471,195,853,824/114,084,731
  6. Step 6: Final answer
    x = 543,792,939.27

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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.