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Finding the Third Proportional to 76,602,243 and 114,631,957.50

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Solution

The third proportional to 76,602,243 and 114,631,957.50 is: 171,541,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,602,243 : 114,631,957.50 = 114,631,957.50 : x
  2. Step 2: Convert to fraction form
    76,602,243/114,631,957.50 = 114,631,957.50/x
  3. Step 3: Cross multiply
    76,602,243x = 114,631,957.50 × 114,631,957.50
  4. Step 4: Simplify right side
    76,602,243x = 13,140,485,680,281,806
  5. Step 5: Solve for x
    x = 13,140,485,680,281,806/76,602,243
  6. Step 6: Final answer
    x = 171,541,787.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.