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Finding the Third Proportional to 137,528,728 and 208,064,804

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Solution

The third proportional to 137,528,728 and 208,064,804 is: 314,777,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,528,728 : 208,064,804 = 208,064,804 : x
  2. Step 2: Convert to fraction form
    137,528,728/208,064,804 = 208,064,804/x
  3. Step 3: Cross multiply
    137,528,728x = 208,064,804 × 208,064,804
  4. Step 4: Simplify right side
    137,528,728x = 43,290,962,663,558,416
  5. Step 5: Solve for x
    x = 43,290,962,663,558,416/137,528,728
  6. Step 6: Final answer
    x = 314,777,598.06

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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.