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Finding the Third Proportional to 137,528,730 and 208,064,807

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Solution

The third proportional to 137,528,730 and 208,064,807 is: 314,777,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,528,730 : 208,064,807 = 208,064,807 : x
  2. Step 2: Convert to fraction form
    137,528,730/208,064,807 = 208,064,807/x
  3. Step 3: Cross multiply
    137,528,730x = 208,064,807 × 208,064,807
  4. Step 4: Simplify right side
    137,528,730x = 43,290,963,911,947,248
  5. Step 5: Solve for x
    x = 43,290,963,911,947,248/137,528,730
  6. Step 6: Final answer
    x = 314,777,602.56

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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.