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Finding the Third Proportional to 65,617,020 and 143,592,034.50

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Solution

The third proportional to 65,617,020 and 143,592,034.50 is: 314,227,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,617,020 : 143,592,034.50 = 143,592,034.50 : x
  2. Step 2: Convert to fraction form
    65,617,020/143,592,034.50 = 143,592,034.50/x
  3. Step 3: Cross multiply
    65,617,020x = 143,592,034.50 × 143,592,034.50
  4. Step 4: Simplify right side
    65,617,020x = 20,618,672,371,849,192
  5. Step 5: Solve for x
    x = 20,618,672,371,849,192/65,617,020
  6. Step 6: Final answer
    x = 314,227,503.35

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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.