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Finding the Third Proportional to 117,433,152 and 245,573,856

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Solution

The third proportional to 117,433,152 and 245,573,856 is: 513,539,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,433,152 : 245,573,856 = 245,573,856 : x
  2. Step 2: Convert to fraction form
    117,433,152/245,573,856 = 245,573,856/x
  3. Step 3: Cross multiply
    117,433,152x = 245,573,856 × 245,573,856
  4. Step 4: Simplify right side
    117,433,152x = 60,306,518,750,708,736
  5. Step 5: Solve for x
    x = 60,306,518,750,708,736/117,433,152
  6. Step 6: Final answer
    x = 513,539,130.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.