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Finding the Third Proportional to 152,334,688 and 232,071,360

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Solution

The third proportional to 152,334,688 and 232,071,360 is: 353,544,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,334,688 : 232,071,360 = 232,071,360 : x
  2. Step 2: Convert to fraction form
    152,334,688/232,071,360 = 232,071,360/x
  3. Step 3: Cross multiply
    152,334,688x = 232,071,360 × 232,071,360
  4. Step 4: Simplify right side
    152,334,688x = 53,857,116,132,249,600
  5. Step 5: Solve for x
    x = 53,857,116,132,249,600/152,334,688
  6. Step 6: Final answer
    x = 353,544,664.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.