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Finding the Third Proportional to 45,688,425,718.50 and 100,202,787,369

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Solution

The third proportional to 45,688,425,718.50 and 100,202,787,369 is: 219,762,411,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,688,425,718.50 : 100,202,787,369 = 100,202,787,369 : x
  2. Step 2: Convert to fraction form
    45,688,425,718.50/100,202,787,369 = 100,202,787,369/x
  3. Step 3: Cross multiply
    45,688,425,718.50x = 100,202,787,369 × 100,202,787,369
  4. Step 4: Simplify right side
    45,688,425,718.50x = 10,040,598,596,517,026,070,528
  5. Step 5: Solve for x
    x = 10,040,598,596,517,026,070,528/45,688,425,718.50
  6. Step 6: Final answer
    x = 219,762,411,127.50

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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.