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Finding the Third Proportional to 107,359,787,080 and 160,108,668,780

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Solution

The third proportional to 107,359,787,080 and 160,108,668,780 is: 238,774,559,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,359,787,080 : 160,108,668,780 = 160,108,668,780 : x
  2. Step 2: Convert to fraction form
    107,359,787,080/160,108,668,780 = 160,108,668,780/x
  3. Step 3: Cross multiply
    107,359,787,080x = 160,108,668,780 × 160,108,668,780
  4. Step 4: Simplify right side
    107,359,787,080x = 25,634,785,818,503,746,158,592
  5. Step 5: Solve for x
    x = 25,634,785,818,503,746,158,592/107,359,787,080
  6. Step 6: Final answer
    x = 238,774,559,038.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.