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Finding the Third Proportional to 64,607,655.38 and 141,768,554.06

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Solution

The third proportional to 64,607,655.38 and 141,768,554.06 is: 311,082,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,607,655.38 : 141,768,554.06 = 141,768,554.06 : x
  2. Step 2: Convert to fraction form
    64,607,655.38/141,768,554.06 = 141,768,554.06/x
  3. Step 3: Cross multiply
    64,607,655.38x = 141,768,554.06 × 141,768,554.06
  4. Step 4: Simplify right side
    64,607,655.38x = 20,098,322,920,971,984
  5. Step 5: Solve for x
    x = 20,098,322,920,971,984/64,607,655.38
  6. Step 6: Final answer
    x = 311,082,685.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.