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Finding the Third Proportional to 176,006,925 and 251,325,787.50

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Solution

The third proportional to 176,006,925 and 251,325,787.50 is: 358,875,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,006,925 : 251,325,787.50 = 251,325,787.50 : x
  2. Step 2: Convert to fraction form
    176,006,925/251,325,787.50 = 251,325,787.50/x
  3. Step 3: Cross multiply
    176,006,925x = 251,325,787.50 × 251,325,787.50
  4. Step 4: Simplify right side
    176,006,925x = 63,164,651,462,495,160
  5. Step 5: Solve for x
    x = 63,164,651,462,495,160/176,006,925
  6. Step 6: Final answer
    x = 358,875,944.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.