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Finding the Third Proportional to 43,117,392,657.50 and 93,827,223,702

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Solution

The third proportional to 43,117,392,657.50 and 93,827,223,702 is: 204,176,258,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,117,392,657.50 : 93,827,223,702 = 93,827,223,702 : x
  2. Step 2: Convert to fraction form
    43,117,392,657.50/93,827,223,702 = 93,827,223,702/x
  3. Step 3: Cross multiply
    43,117,392,657.50x = 93,827,223,702 × 93,827,223,702
  4. Step 4: Simplify right side
    43,117,392,657.50x = 8,803,547,907,625,150,578,688
  5. Step 5: Solve for x
    x = 8,803,547,907,625,150,578,688/43,117,392,657.50
  6. Step 6: Final answer
    x = 204,176,258,466.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.