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Finding the Third Proportional to 137,528,725.50 and 208,064,801.25

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Solution

The third proportional to 137,528,725.50 and 208,064,801.25 is: 314,777,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,528,725.50 : 208,064,801.25 = 208,064,801.25 : x
  2. Step 2: Convert to fraction form
    137,528,725.50/208,064,801.25 = 208,064,801.25/x
  3. Step 3: Cross multiply
    137,528,725.50x = 208,064,801.25 × 208,064,801.25
  4. Step 4: Simplify right side
    137,528,725.50x = 43,290,961,519,202,000
  5. Step 5: Solve for x
    x = 43,290,961,519,202,000/137,528,725.50
  6. Step 6: Final answer
    x = 314,777,595.46

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