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Finding the Third Proportional to 137,044,669.50 and 295,931,881.69

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Solution

The third proportional to 137,044,669.50 and 295,931,881.69 is: 639,030,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,044,669.50 : 295,931,881.69 = 295,931,881.69 : x
  2. Step 2: Convert to fraction form
    137,044,669.50/295,931,881.69 = 295,931,881.69/x
  3. Step 3: Cross multiply
    137,044,669.50x = 295,931,881.69 × 295,931,881.69
  4. Step 4: Simplify right side
    137,044,669.50x = 87,575,678,599,104,496
  5. Step 5: Solve for x
    x = 87,575,678,599,104,496/137,044,669.50
  6. Step 6: Final answer
    x = 639,030,171.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.