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Finding the Third Proportional to 106,567,388 and 233,064,664

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Solution

The third proportional to 106,567,388 and 233,064,664 is: 509,716,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,567,388 : 233,064,664 = 233,064,664 : x
  2. Step 2: Convert to fraction form
    106,567,388/233,064,664 = 233,064,664/x
  3. Step 3: Cross multiply
    106,567,388x = 233,064,664 × 233,064,664
  4. Step 4: Simplify right side
    106,567,388x = 54,319,137,605,432,896
  5. Step 5: Solve for x
    x = 54,319,137,605,432,896/106,567,388
  6. Step 6: Final answer
    x = 509,716,327.15

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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.