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Finding the Third Proportional to 65,849,598 and 141,813,129.38

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Solution

The third proportional to 65,849,598 and 141,813,129.38 is: 305,407,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,849,598 : 141,813,129.38 = 141,813,129.38 : x
  2. Step 2: Convert to fraction form
    65,849,598/141,813,129.38 = 141,813,129.38/x
  3. Step 3: Cross multiply
    65,849,598x = 141,813,129.38 × 141,813,129.38
  4. Step 4: Simplify right side
    65,849,598x = 20,110,963,663,130,488
  5. Step 5: Solve for x
    x = 20,110,963,663,130,488/65,849,598
  6. Step 6: Final answer
    x = 305,407,538.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.