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Finding the Third Proportional to 86,143,547.25 and 189,024,752.25

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Solution

The third proportional to 86,143,547.25 and 189,024,752.25 is: 414,776,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,143,547.25 : 189,024,752.25 = 189,024,752.25 : x
  2. Step 2: Convert to fraction form
    86,143,547.25/189,024,752.25 = 189,024,752.25/x
  3. Step 3: Cross multiply
    86,143,547.25x = 189,024,752.25 × 189,024,752.25
  4. Step 4: Simplify right side
    86,143,547.25x = 35,730,356,963,173,880
  5. Step 5: Solve for x
    x = 35,730,356,963,173,880/86,143,547.25
  6. Step 6: Final answer
    x = 414,776,940.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.