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Finding the Third Proportional to 190,334,541,732.50 and 287,953,781,728

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Solution

The third proportional to 190,334,541,732.50 and 287,953,781,728 is: 435,640,213,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,334,541,732.50 : 287,953,781,728 = 287,953,781,728 : x
  2. Step 2: Convert to fraction form
    190,334,541,732.50/287,953,781,728 = 287,953,781,728/x
  3. Step 3: Cross multiply
    190,334,541,732.50x = 287,953,781,728 × 287,953,781,728
  4. Step 4: Simplify right side
    190,334,541,732.50x = 82,917,380,411,456,674,070,528
  5. Step 5: Solve for x
    x = 82,917,380,411,456,674,070,528/190,334,541,732.50
  6. Step 6: Final answer
    x = 435,640,213,577.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.