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Finding the Third Proportional to 115,140,564 and 164,652,362

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Solution

The third proportional to 115,140,564 and 164,652,362 is: 235,454,816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,140,564 : 164,652,362 = 164,652,362 : x
  2. Step 2: Convert to fraction form
    115,140,564/164,652,362 = 164,652,362/x
  3. Step 3: Cross multiply
    115,140,564x = 164,652,362 × 164,652,362
  4. Step 4: Simplify right side
    115,140,564x = 27,110,400,312,179,044
  5. Step 5: Solve for x
    x = 27,110,400,312,179,044/115,140,564
  6. Step 6: Final answer
    x = 235,454,816.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.