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Finding the Third Proportional to 232,959,376.69 and 370,863,248.63

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Solution

The third proportional to 232,959,376.69 and 370,863,248.63 is: 590,401,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,959,376.69 : 370,863,248.63 = 370,863,248.63 : x
  2. Step 2: Convert to fraction form
    232,959,376.69/370,863,248.63 = 370,863,248.63/x
  3. Step 3: Cross multiply
    232,959,376.69x = 370,863,248.63 × 370,863,248.63
  4. Step 4: Simplify right side
    232,959,376.69x = 137,539,549,180,688,560
  5. Step 5: Solve for x
    x = 137,539,549,180,688,560/232,959,376.69
  6. Step 6: Final answer
    x = 590,401,430.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.