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Finding the Third Proportional to 85,075,020 and 185,549,112

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Solution

The third proportional to 85,075,020 and 185,549,112 is: 404,683,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,075,020 : 185,549,112 = 185,549,112 : x
  2. Step 2: Convert to fraction form
    85,075,020/185,549,112 = 185,549,112/x
  3. Step 3: Cross multiply
    85,075,020x = 185,549,112 × 185,549,112
  4. Step 4: Simplify right side
    85,075,020x = 34,428,472,963,988,544
  5. Step 5: Solve for x
    x = 34,428,472,963,988,544/85,075,020
  6. Step 6: Final answer
    x = 404,683,689.34

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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.