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Finding the Third Proportional to 141,153,232 and 305,756,320

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Solution

The third proportional to 141,153,232 and 305,756,320 is: 662,308,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,153,232 : 305,756,320 = 305,756,320 : x
  2. Step 2: Convert to fraction form
    141,153,232/305,756,320 = 305,756,320/x
  3. Step 3: Cross multiply
    141,153,232x = 305,756,320 × 305,756,320
  4. Step 4: Simplify right side
    141,153,232x = 93,486,927,219,942,400
  5. Step 5: Solve for x
    x = 93,486,927,219,942,400/141,153,232
  6. Step 6: Final answer
    x = 662,308,088.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.