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Finding the Third Proportional to 152,940,507 and 233,799,570

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Solution

The third proportional to 152,940,507 and 233,799,570 is: 357,408,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,940,507 : 233,799,570 = 233,799,570 : x
  2. Step 2: Convert to fraction form
    152,940,507/233,799,570 = 233,799,570/x
  3. Step 3: Cross multiply
    152,940,507x = 233,799,570 × 233,799,570
  4. Step 4: Simplify right side
    152,940,507x = 54,662,238,932,184,896
  5. Step 5: Solve for x
    x = 54,662,238,932,184,896/152,940,507
  6. Step 6: Final answer
    x = 357,408,511.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.