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Finding the Third Proportional to 70,163,984 and 148,005,792

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Solution

The third proportional to 70,163,984 and 148,005,792 is: 312,207,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,163,984 : 148,005,792 = 148,005,792 : x
  2. Step 2: Convert to fraction form
    70,163,984/148,005,792 = 148,005,792/x
  3. Step 3: Cross multiply
    70,163,984x = 148,005,792 × 148,005,792
  4. Step 4: Simplify right side
    70,163,984x = 21,905,714,465,547,264
  5. Step 5: Solve for x
    x = 21,905,714,465,547,264/70,163,984
  6. Step 6: Final answer
    x = 312,207,392.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.