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Finding the Third Proportional to 74,294,743.50 and 112,564,045.13

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Solution

The third proportional to 74,294,743.50 and 112,564,045.13 is: 170,545,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,294,743.50 : 112,564,045.13 = 112,564,045.13 : x
  2. Step 2: Convert to fraction form
    74,294,743.50/112,564,045.13 = 112,564,045.13/x
  3. Step 3: Cross multiply
    74,294,743.50x = 112,564,045.13 × 112,564,045.13
  4. Step 4: Simplify right side
    74,294,743.50x = 12,670,664,254,903,036
  5. Step 5: Solve for x
    x = 12,670,664,254,903,036/74,294,743.50
  6. Step 6: Final answer
    x = 170,545,904.84

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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.